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Simplifying (5x + -9)(5x + -9) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Reorder the terms: (-9 + 5x)(5x + -9) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Reorder the terms: (-9 + 5x)(-9 + 5x) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Multiply (-9 + 5x) * (-9 + 5x) (-9(-9 + 5x) + 5x * (-9 + 5x)) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) ((-9 * -9 + 5x * -9) + 5x * (-9 + 5x)) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) ((81 + -45x) + 5x * (-9 + 5x)) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) (81 + -45x + (-9 * 5x + 5x * 5x)) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) (81 + -45x + (-45x + 25x2)) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Combine like terms: -45x + -45x = -90x (81 + -90x + 25x2) + -1(3x + -2)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Reorder the terms: 81 + -90x + 25x2 + -1(-2 + 3x)(3x + -2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Reorder the terms: 81 + -90x + 25x2 + -1(-2 + 3x)(-2 + 3x) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Multiply (-2 + 3x) * (-2 + 3x) 81 + -90x + 25x2 + -1(-2(-2 + 3x) + 3x * (-2 + 3x)) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) 81 + -90x + 25x2 + -1((-2 * -2 + 3x * -2) + 3x * (-2 + 3x)) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) 81 + -90x + 25x2 + -1((4 + -6x) + 3x * (-2 + 3x)) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) 81 + -90x + 25x2 + -1(4 + -6x + (-2 * 3x + 3x * 3x)) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) 81 + -90x + 25x2 + -1(4 + -6x + (-6x + 9x2)) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Combine like terms: -6x + -6x = -12x 81 + -90x + 25x2 + -1(4 + -12x + 9x2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) 81 + -90x + 25x2 + (4 * -1 + -12x * -1 + 9x2 * -1) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) 81 + -90x + 25x2 + (-4 + 12x + -9x2) = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Reorder the terms: 81 + -4 + -90x + 12x + 25x2 + -9x2 = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Combine like terms: 81 + -4 = 77 77 + -90x + 12x + 25x2 + -9x2 = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Combine like terms: -90x + 12x = -78x 77 + -78x + 25x2 + -9x2 = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Combine like terms: 25x2 + -9x2 = 16x2 77 + -78x + 16x2 = (7 + -4x)(7 + -4x) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Multiply (7 + -4x) * (7 + -4x) 77 + -78x + 16x2 = (7(7 + -4x) + -4x * (7 + -4x)) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = ((7 * 7 + -4x * 7) + -4x * (7 + -4x)) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = ((49 + -28x) + -4x * (7 + -4x)) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = (49 + -28x + (7 * -4x + -4x * -4x)) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = (49 + -28x + (-28x + 16x2)) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Combine like terms: -28x + -28x = -56x 77 + -78x + 16x2 = (49 + -56x + 16x2) + -1(7 + 4x)(7 + 4x) + -8x(4 + -2x) + 6(x + 13) Multiply (7 + 4x) * (7 + 4x) 77 + -78x + 16x2 = 49 + -56x + 16x2 + -1(7(7 + 4x) + 4x * (7 + 4x)) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = 49 + -56x + 16x2 + -1((7 * 7 + 4x * 7) + 4x * (7 + 4x)) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = 49 + -56x + 16x2 + -1((49 + 28x) + 4x * (7 + 4x)) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = 49 + -56x + 16x2 + -1(49 + 28x + (7 * 4x + 4x * 4x)) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = 49 + -56x + 16x2 + -1(49 + 28x + (28x + 16x2)) + -8x(4 + -2x) + 6(x + 13) Combine like terms: 28x + 28x = 56x 77 + -78x + 16x2 = 49 + -56x + 16x2 + -1(49 + 56x + 16x2) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = 49 + -56x + 16x2 + (49 * -1 + 56x * -1 + 16x2 * -1) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = 49 + -56x + 16x2 + (-49 + -56x + -16x2) + -8x(4 + -2x) + 6(x + 13) 77 + -78x + 16x2 = 49 + -56x + 16x2 + -49 + -56x + -16x2 + (4 * -8x + -2x * -8x) + 6(x + 13) 77 + -78x + 16x2 = 49 + -56x + 16x2 + -49 + -56x + -16x2 + (-32x + 16x2) + 6(x + 13) Reorder the terms: 77 + -78x + 16x2 = 49 + -56x + 16x2 + -49 + -56x + -16x2 + -32x + 16x2 + 6(13 + x) 77 + -78x + 16x2 = 49 + -56x + 16x2 + -49 + -56x + -16x2 + -32x + 16x2 + (13 * 6 + x * 6) 77 + -78x + 16x2 = 49 + -56x + 16x2 + -49 + -56x + -16x2 + -32x + 16x2 + (78 + 6x) Reorder the terms: 77 + -78x + 16x2 = 49 + -49 + 78 + -56x + -56x + -32x + 6x + 16x2 + -16x2 + 16x2 Combine like terms: 49 + -49 = 0 77 + -78x + 16x2 = 0 + 78 + -56x + -56x + -32x + 6x + 16x2 + -16x2 + 16x2 77 + -78x + 16x2 = 78 + -56x + -56x + -32x + 6x + 16x2 + -16x2 + 16x2 Combine like terms: -56x + -56x = -112x 77 + -78x + 16x2 = 78 + -112x + -32x + 6x + 16x2 + -16x2 + 16x2 Combine like terms: -112x + -32x = -144x 77 + -78x + 16x2 = 78 + -144x + 6x + 16x2 + -16x2 + 16x2 Combine like terms: -144x + 6x = -138x 77 + -78x + 16x2 = 78 + -138x + 16x2 + -16x2 + 16x2 Combine like terms: 16x2 + -16x2 = 0 77 + -78x + 16x2 = 78 + -138x + 0 + 16x2 77 + -78x + 16x2 = 78 + -138x + 16x2 Add '-16x2' to each side of the equation. 77 + -78x + 16x2 + -16x2 = 78 + -138x + 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 77 + -78x + 0 = 78 + -138x + 16x2 + -16x2 77 + -78x = 78 + -138x + 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 77 + -78x = 78 + -138x + 0 77 + -78x = 78 + -138x Solving 77 + -78x = 78 + -138x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '138x' to each side of the equation. 77 + -78x + 138x = 78 + -138x + 138x Combine like terms: -78x + 138x = 60x 77 + 60x = 78 + -138x + 138x Combine like terms: -138x + 138x = 0 77 + 60x = 78 + 0 77 + 60x = 78 Add '-77' to each side of the equation. 77 + -77 + 60x = 78 + -77 Combine like terms: 77 + -77 = 0 0 + 60x = 78 + -77 60x = 78 + -77 Combine like terms: 78 + -77 = 1 60x = 1 Divide each side by '60'. x = 0.01666666667 Simplifying x = 0.01666666667
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