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Simplifying (2 + y)(2x + -5)(3a + -8)(5b + 27) = 0 Reorder the terms: (2 + y)(-5 + 2x)(3a + -8)(5b + 27) = 0 Reorder the terms: (2 + y)(-5 + 2x)(-8 + 3a)(5b + 27) = 0 Reorder the terms: (2 + y)(-5 + 2x)(-8 + 3a)(27 + 5b) = 0 Multiply (2 + y) * (-5 + 2x) (2(-5 + 2x) + y(-5 + 2x))(-8 + 3a)(27 + 5b) = 0 ((-5 * 2 + 2x * 2) + y(-5 + 2x))(-8 + 3a)(27 + 5b) = 0 ((-10 + 4x) + y(-5 + 2x))(-8 + 3a)(27 + 5b) = 0 (-10 + 4x + (-5 * y + 2x * y))(-8 + 3a)(27 + 5b) = 0 Reorder the terms: (-10 + 4x + (2xy + -5y))(-8 + 3a)(27 + 5b) = 0 (-10 + 4x + (2xy + -5y))(-8 + 3a)(27 + 5b) = 0 (-10 + 4x + 2xy + -5y)(-8 + 3a)(27 + 5b) = 0 Multiply (-10 + 4x + 2xy + -5y) * (-8 + 3a) (-10(-8 + 3a) + 4x * (-8 + 3a) + 2xy * (-8 + 3a) + -5y * (-8 + 3a))(27 + 5b) = 0 ((-8 * -10 + 3a * -10) + 4x * (-8 + 3a) + 2xy * (-8 + 3a) + -5y * (-8 + 3a))(27 + 5b) = 0 ((80 + -30a) + 4x * (-8 + 3a) + 2xy * (-8 + 3a) + -5y * (-8 + 3a))(27 + 5b) = 0 (80 + -30a + (-8 * 4x + 3a * 4x) + 2xy * (-8 + 3a) + -5y * (-8 + 3a))(27 + 5b) = 0 Reorder the terms: (80 + -30a + (12ax + -32x) + 2xy * (-8 + 3a) + -5y * (-8 + 3a))(27 + 5b) = 0 (80 + -30a + (12ax + -32x) + 2xy * (-8 + 3a) + -5y * (-8 + 3a))(27 + 5b) = 0 (80 + -30a + 12ax + -32x + (-8 * 2xy + 3a * 2xy) + -5y * (-8 + 3a))(27 + 5b) = 0 Reorder the terms: (80 + -30a + 12ax + -32x + (6axy + -16xy) + -5y * (-8 + 3a))(27 + 5b) = 0 (80 + -30a + 12ax + -32x + (6axy + -16xy) + -5y * (-8 + 3a))(27 + 5b) = 0 (80 + -30a + 12ax + -32x + 6axy + -16xy + (-8 * -5y + 3a * -5y))(27 + 5b) = 0 Reorder the terms: (80 + -30a + 12ax + -32x + 6axy + -16xy + (-15ay + 40y))(27 + 5b) = 0 (80 + -30a + 12ax + -32x + 6axy + -16xy + (-15ay + 40y))(27 + 5b) = 0 Reorder the terms: (80 + -30a + 12ax + 6axy + -15ay + -32x + -16xy + 40y)(27 + 5b) = 0 (80 + -30a + 12ax + 6axy + -15ay + -32x + -16xy + 40y)(27 + 5b) = 0 Multiply (80 + -30a + 12ax + 6axy + -15ay + -32x + -16xy + 40y) * (27 + 5b) (80(27 + 5b) + -30a * (27 + 5b) + 12ax * (27 + 5b) + 6axy * (27 + 5b) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 ((27 * 80 + 5b * 80) + -30a * (27 + 5b) + 12ax * (27 + 5b) + 6axy * (27 + 5b) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 ((2160 + 400b) + -30a * (27 + 5b) + 12ax * (27 + 5b) + 6axy * (27 + 5b) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + (27 * -30a + 5b * -30a) + 12ax * (27 + 5b) + 6axy * (27 + 5b) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + (-810a + -150ab) + 12ax * (27 + 5b) + 6axy * (27 + 5b) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + (27 * 12ax + 5b * 12ax) + 6axy * (27 + 5b) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 Reorder the terms: (2160 + 400b + -810a + -150ab + (60abx + 324ax) + 6axy * (27 + 5b) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + (60abx + 324ax) + 6axy * (27 + 5b) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + 60abx + 324ax + (27 * 6axy + 5b * 6axy) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 Reorder the terms: (2160 + 400b + -810a + -150ab + 60abx + 324ax + (30abxy + 162axy) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + 60abx + 324ax + (30abxy + 162axy) + -15ay * (27 + 5b) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + (27 * -15ay + 5b * -15ay) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 Reorder the terms: (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + (-75aby + -405ay) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + (-75aby + -405ay) + -32x * (27 + 5b) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + -75aby + -405ay + (27 * -32x + 5b * -32x) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 Reorder the terms: (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + -75aby + -405ay + (-160bx + -864x) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + -75aby + -405ay + (-160bx + -864x) + -16xy * (27 + 5b) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + -75aby + -405ay + -160bx + -864x + (27 * -16xy + 5b * -16xy) + 40y * (27 + 5b)) = 0 Reorder the terms: (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + -75aby + -405ay + -160bx + -864x + (-80bxy + -432xy) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + -75aby + -405ay + -160bx + -864x + (-80bxy + -432xy) + 40y * (27 + 5b)) = 0 (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + -75aby + -405ay + -160bx + -864x + -80bxy + -432xy + (27 * 40y + 5b * 40y)) = 0 Reorder the terms: (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + -75aby + -405ay + -160bx + -864x + -80bxy + -432xy + (200by + 1080y)) = 0 (2160 + 400b + -810a + -150ab + 60abx + 324ax + 30abxy + 162axy + -75aby + -405ay + -160bx + -864x + -80bxy + -432xy + (200by + 1080y)) = 0 Reorder the terms: (2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y) = 0 (2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y) = 0 Solving 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2160' to each side of the equation. 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + -2160 + 1080y = 0 + -2160 Reorder the terms: 2160 + -2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 + -2160 Combine like terms: 2160 + -2160 = 0 0 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 + -2160 -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 + -2160 Combine like terms: 0 + -2160 = -2160 -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = -2160 Add '-400b' to each side of the equation. -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + -400b + 1080y = -2160 + -400b Reorder the terms: -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = -2160 + -400b Combine like terms: 400b + -400b = 0 -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 0 + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = -2160 + -400b -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = -2160 + -400b Add '160bx' to each side of the equation. -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -160bx + -80bxy + 200by + -864x + -432xy + 160bx + 1080y = -2160 + -400b + 160bx Reorder the terms: -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -160bx + 160bx + -80bxy + 200by + -864x + -432xy + 1080y = -2160 + -400b + 160bx Combine like terms: -160bx + 160bx = 0 -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 0 + -80bxy + 200by + -864x + -432xy + 1080y = -2160 + -400b + 160bx -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -80bxy + 200by + -864x + -432xy + 1080y = -2160 + -400b + 160bx Add '80bxy' to each side of the equation. -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -80bxy + 200by + -864x + -432xy + 80bxy + 1080y = -2160 + -400b + 160bx + 80bxy Reorder the terms: -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -80bxy + 80bxy + 200by + -864x + -432xy + 1080y = -2160 + -400b + 160bx + 80bxy Combine like terms: -80bxy + 80bxy = 0 -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 0 + 200by + -864x + -432xy + 1080y = -2160 + -400b + 160bx + 80bxy -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 200by + -864x + -432xy + 1080y = -2160 + -400b + 160bx + 80bxy Add '-200by' to each side of the equation. -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 200by + -864x + -432xy + -200by + 1080y = -2160 + -400b + 160bx + 80bxy + -200by Reorder the terms: -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 200by + -200by + -864x + -432xy + 1080y = -2160 + -400b + 160bx + 80bxy + -200by Combine like terms: 200by + -200by = 0 -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 0 + -864x + -432xy + 1080y = -2160 + -400b + 160bx + 80bxy + -200by -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -864x + -432xy + 1080y = -2160 + -400b + 160bx + 80bxy + -200by Add '864x' to each side of the equation. -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -864x + -432xy + 864x + 1080y = -2160 + -400b + 160bx + 80bxy + -200by + 864x Reorder the terms: -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -864x + 864x + -432xy + 1080y = -2160 + -400b + 160bx + 80bxy + -200by + 864x Combine like terms: -864x + 864x = 0 -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 0 + -432xy + 1080y = -2160 + -400b + 160bx + 80bxy + -200by + 864x -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -432xy + 1080y = -2160 + -400b + 160bx + 80bxy + -200by + 864x Add '432xy' to each side of the equation. -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + -432xy + 432xy + 1080y = -2160 + -400b + 160bx + 80bxy + -200by + 864x + 432xy Combine like terms: -432xy + 432xy = 0 -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 0 + 1080y = -2160 + -400b + 160bx + 80bxy + -200by + 864x + 432xy -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 1080y = -2160 + -400b + 160bx + 80bxy + -200by + 864x + 432xy Add '-1080y' to each side of the equation. -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 1080y + -1080y = -2160 + -400b + 160bx + 80bxy + -200by + 864x + 432xy + -1080y Combine like terms: 1080y + -1080y = 0 -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 0 = -2160 + -400b + 160bx + 80bxy + -200by + 864x + 432xy + -1080y -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay = -2160 + -400b + 160bx + 80bxy + -200by + 864x + 432xy + -1080y Reorder the terms: 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = -2160 + -400b + 160bx + 80bxy + -200by + 864x + 432xy + -1080y + 2160 + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y Reorder the terms: 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = -2160 + 2160 + -400b + 400b + 160bx + -160bx + 80bxy + -80bxy + -200by + 200by + 864x + -864x + 432xy + -432xy + -1080y + 1080y Combine like terms: -2160 + 2160 = 0 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 + -400b + 400b + 160bx + -160bx + 80bxy + -80bxy + -200by + 200by + 864x + -864x + 432xy + -432xy + -1080y + 1080y 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = -400b + 400b + 160bx + -160bx + 80bxy + -80bxy + -200by + 200by + 864x + -864x + 432xy + -432xy + -1080y + 1080y Combine like terms: -400b + 400b = 0 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 + 160bx + -160bx + 80bxy + -80bxy + -200by + 200by + 864x + -864x + 432xy + -432xy + -1080y + 1080y 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 160bx + -160bx + 80bxy + -80bxy + -200by + 200by + 864x + -864x + 432xy + -432xy + -1080y + 1080y Combine like terms: 160bx + -160bx = 0 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 + 80bxy + -80bxy + -200by + 200by + 864x + -864x + 432xy + -432xy + -1080y + 1080y 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 80bxy + -80bxy + -200by + 200by + 864x + -864x + 432xy + -432xy + -1080y + 1080y Combine like terms: 80bxy + -80bxy = 0 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 + -200by + 200by + 864x + -864x + 432xy + -432xy + -1080y + 1080y 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = -200by + 200by + 864x + -864x + 432xy + -432xy + -1080y + 1080y Combine like terms: -200by + 200by = 0 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 + 864x + -864x + 432xy + -432xy + -1080y + 1080y 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 864x + -864x + 432xy + -432xy + -1080y + 1080y Combine like terms: 864x + -864x = 0 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 + 432xy + -432xy + -1080y + 1080y 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 432xy + -432xy + -1080y + 1080y Combine like terms: 432xy + -432xy = 0 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 + -1080y + 1080y 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = -1080y + 1080y Combine like terms: -1080y + 1080y = 0 2160 + -810a + -150ab + 60abx + 30abxy + -75aby + 324ax + 162axy + -405ay + 400b + -160bx + -80bxy + 200by + -864x + -432xy + 1080y = 0 The solution to this equation could not be determined.
| D^3=1932367.15 | | -2a-7(1-5a)=158 | | (2m-4)X=(2m+2) | | 9=4n+-59 | | 12=3(4x-19) | | h=-16t^2+96t+80 | | 5n+16=81 | | 8(2y^2-7y+4)-7(2y^2-2y+6)= | | 11x-11=33 | | 12+2(-5)+4= | | x-30x/100-150000=75313 | | (5x+8)+10=2 | | x-30x=-75313 | | 8x+5=10x-21 | | 3x^2+40x+131=0 | | 7/5-(9/10-3/2) | | 2x+-20=32 | | (2/5)*(1/6) | | x-(30x/100)-150000=75313 | | 3/11x-5 | | 3(x+1)-5=4x-13 | | 4c+5(4)=11 | | 7n+-4n=1.8+9.5 | | 8x=4(x+1)+6(x-1) | | 2x+15-6x=95 | | x-30x-150000=-75313 | | 2y+3(y-2)=6y-3(y-10) | | x/10=.15 | | 3w-9-5w= | | y^4*y^6=y^10 | | .10x+.25(24)=4.50 | | 6/7w=2/3 |