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Simplifying -12x(x + -1)(x + 14) = 0 Reorder the terms: -12x(-1 + x)(x + 14) = 0 Reorder the terms: -12x(-1 + x)(14 + x) = 0 Multiply (-1 + x) * (14 + x) -12x(-1(14 + x) + x(14 + x)) = 0 -12x((14 * -1 + x * -1) + x(14 + x)) = 0 -12x((-14 + -1x) + x(14 + x)) = 0 -12x(-14 + -1x + (14 * x + x * x)) = 0 -12x(-14 + -1x + (14x + x2)) = 0 Combine like terms: -1x + 14x = 13x -12x(-14 + 13x + x2) = 0 (-14 * -12x + 13x * -12x + x2 * -12x) = 0 (168x + -156x2 + -12x3) = 0 Solving 168x + -156x2 + -12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(14 + -13x + -1x2) = 0 Factor a trinomial. 12x((1 + -1x)(14 + x)) = 0 Ignore the factor 12.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 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, 1, -14}
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