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Simplifying -7x(x(2x + -5) + -12) = 0 Reorder the terms: -7x(x(-5 + 2x) + -12) = 0 -7x((-5 * x + 2x * x) + -12) = 0 -7x((-5x + 2x2) + -12) = 0 Reorder the terms: -7x(-12 + -5x + 2x2) = 0 (-12 * -7x + -5x * -7x + 2x2 * -7x) = 0 (84x + 35x2 + -14x3) = 0 Solving 84x + 35x2 + -14x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(12 + 5x + -2x2) = 0 Factor a trinomial. 7x((4 + -1x)(3 + 2x)) = 0 Ignore the factor 7.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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 3
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, 4, -1.5}
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