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Simplifying 9 * 3 * 6 + -1(x + -9)(x + -8)(3) = 156 Multiply 9 * 3 27 * 6 + -1(x + -9)(x + -8)(3) = 156 Multiply 27 * 6 162 + -1(x + -9)(x + -8)(3) = 156 Reorder the terms: 162 + -1(-9 + x)(x + -8)(3) = 156 Reorder the terms: 162 + -1(-9 + x)(-8 + x)(3) = 156 Reorder the terms for easier multiplication: 162 + -1 * 3(-9 + x)(-8 + x) = 156 Multiply -1 * 3 162 + -3(-9 + x)(-8 + x) = 156 Multiply (-9 + x) * (-8 + x) 162 + -3(-9(-8 + x) + x(-8 + x)) = 156 162 + -3((-8 * -9 + x * -9) + x(-8 + x)) = 156 162 + -3((72 + -9x) + x(-8 + x)) = 156 162 + -3(72 + -9x + (-8 * x + x * x)) = 156 162 + -3(72 + -9x + (-8x + x2)) = 156 Combine like terms: -9x + -8x = -17x 162 + -3(72 + -17x + x2) = 156 162 + (72 * -3 + -17x * -3 + x2 * -3) = 156 162 + (-216 + 51x + -3x2) = 156 Combine like terms: 162 + -216 = -54 -54 + 51x + -3x2 = 156 Solving -54 + 51x + -3x2 = 156 Solving for variable 'x'. Reorder the terms: -54 + -156 + 51x + -3x2 = 156 + -156 Combine like terms: -54 + -156 = -210 -210 + 51x + -3x2 = 156 + -156 Combine like terms: 156 + -156 = 0 -210 + 51x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-70 + 17x + -1x2) = 0 Factor a trinomial. 3((-10 + x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {10, 7}
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