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Simplifying (2x2 + 12x)(x + -5) = 0 Reorder the terms: (12x + 2x2)(x + -5) = 0 Reorder the terms: (12x + 2x2)(-5 + x) = 0 Multiply (12x + 2x2) * (-5 + x) (12x * (-5 + x) + 2x2 * (-5 + x)) = 0 ((-5 * 12x + x * 12x) + 2x2 * (-5 + x)) = 0 ((-60x + 12x2) + 2x2 * (-5 + x)) = 0 (-60x + 12x2 + (-5 * 2x2 + x * 2x2)) = 0 (-60x + 12x2 + (-10x2 + 2x3)) = 0 Combine like terms: 12x2 + -10x2 = 2x2 (-60x + 2x2 + 2x3) = 0 Solving -60x + 2x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-30 + x + x2) = 0 Factor a trinomial. 2x((-6 + -1x)(5 + -1x)) = 0 Ignore the factor 2.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 '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 3
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 = 5Solution
x = {0, -6, 5}
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