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Simplifying (x + -5)(x + -9x)(x + 14) = 0 Reorder the terms: (-5 + x)(x + -9x)(x + 14) = 0 Combine like terms: x + -9x = -8x (-5 + x)(-8x)(x + 14) = 0 Remove parenthesis around (-8x) (-5 + x) * -8x(x + 14) = 0 Reorder the terms: (-5 + x) * -8x(14 + x) = 0 Reorder the terms for easier multiplication: -8x(-5 + x)(14 + x) = 0 Multiply (-5 + x) * (14 + x) -8x(-5(14 + x) + x(14 + x)) = 0 -8x((14 * -5 + x * -5) + x(14 + x)) = 0 -8x((-70 + -5x) + x(14 + x)) = 0 -8x(-70 + -5x + (14 * x + x * x)) = 0 -8x(-70 + -5x + (14x + x2)) = 0 Combine like terms: -5x + 14x = 9x -8x(-70 + 9x + x2) = 0 (-70 * -8x + 9x * -8x + x2 * -8x) = 0 (560x + -72x2 + -8x3) = 0 Solving 560x + -72x2 + -8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(70 + -9x + -1x2) = 0 Factor a trinomial. 8x((5 + -1x)(14 + x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 3
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {0, 5, -14}
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