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Simplifying y = -1x(x + 3)(x + 3)(x + -5)(x + -5) Reorder the terms: y = -1x(3 + x)(x + 3)(x + -5)(x + -5) Reorder the terms: y = -1x(3 + x)(3 + x)(x + -5)(x + -5) Reorder the terms: y = -1x(3 + x)(3 + x)(-5 + x)(x + -5) Reorder the terms: y = -1x(3 + x)(3 + x)(-5 + x)(-5 + x) Multiply (3 + x) * (3 + x) y = -1x(3(3 + x) + x(3 + x))(-5 + x)(-5 + x) y = -1x((3 * 3 + x * 3) + x(3 + x))(-5 + x)(-5 + x) y = -1x((9 + 3x) + x(3 + x))(-5 + x)(-5 + x) y = -1x(9 + 3x + (3 * x + x * x))(-5 + x)(-5 + x) y = -1x(9 + 3x + (3x + x2))(-5 + x)(-5 + x) Combine like terms: 3x + 3x = 6x y = -1x(9 + 6x + x2)(-5 + x)(-5 + x) Multiply (9 + 6x + x2) * (-5 + x) y = -1x(9(-5 + x) + 6x * (-5 + x) + x2(-5 + x))(-5 + x) y = -1x((-5 * 9 + x * 9) + 6x * (-5 + x) + x2(-5 + x))(-5 + x) y = -1x((-45 + 9x) + 6x * (-5 + x) + x2(-5 + x))(-5 + x) y = -1x(-45 + 9x + (-5 * 6x + x * 6x) + x2(-5 + x))(-5 + x) y = -1x(-45 + 9x + (-30x + 6x2) + x2(-5 + x))(-5 + x) y = -1x(-45 + 9x + -30x + 6x2 + (-5 * x2 + x * x2))(-5 + x) y = -1x(-45 + 9x + -30x + 6x2 + (-5x2 + x3))(-5 + x) Combine like terms: 9x + -30x = -21x y = -1x(-45 + -21x + 6x2 + -5x2 + x3)(-5 + x) Combine like terms: 6x2 + -5x2 = 1x2 y = -1x(-45 + -21x + 1x2 + x3)(-5 + x) Multiply (-45 + -21x + 1x2 + x3) * (-5 + x) y = -1x(-45(-5 + x) + -21x * (-5 + x) + 1x2 * (-5 + x) + x3(-5 + x)) y = -1x((-5 * -45 + x * -45) + -21x * (-5 + x) + 1x2 * (-5 + x) + x3(-5 + x)) y = -1x((225 + -45x) + -21x * (-5 + x) + 1x2 * (-5 + x) + x3(-5 + x)) y = -1x(225 + -45x + (-5 * -21x + x * -21x) + 1x2 * (-5 + x) + x3(-5 + x)) y = -1x(225 + -45x + (105x + -21x2) + 1x2 * (-5 + x) + x3(-5 + x)) y = -1x(225 + -45x + 105x + -21x2 + (-5 * 1x2 + x * 1x2) + x3(-5 + x)) y = -1x(225 + -45x + 105x + -21x2 + (-5x2 + 1x3) + x3(-5 + x)) y = -1x(225 + -45x + 105x + -21x2 + -5x2 + 1x3 + (-5 * x3 + x * x3)) y = -1x(225 + -45x + 105x + -21x2 + -5x2 + 1x3 + (-5x3 + x4)) Combine like terms: -45x + 105x = 60x y = -1x(225 + 60x + -21x2 + -5x2 + 1x3 + -5x3 + x4) Combine like terms: -21x2 + -5x2 = -26x2 y = -1x(225 + 60x + -26x2 + 1x3 + -5x3 + x4) Combine like terms: 1x3 + -5x3 = -4x3 y = -1x(225 + 60x + -26x2 + -4x3 + x4) y = (225 * -1x + 60x * -1x + -26x2 * -1x + -4x3 * -1x + x4 * -1x) y = (-225x + -60x2 + 26x3 + 4x4 + -1x5) Solving y = -225x + -60x2 + 26x3 + 4x4 + -1x5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -225x + -60x2 + 26x3 + 4x4 + -1x5
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