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Simplifying -6x(x + 12) + -15(x + 12) = 0 Reorder the terms: -6x(12 + x) + -15(x + 12) = 0 (12 * -6x + x * -6x) + -15(x + 12) = 0 (-72x + -6x2) + -15(x + 12) = 0 Reorder the terms: -72x + -6x2 + -15(12 + x) = 0 -72x + -6x2 + (12 * -15 + x * -15) = 0 -72x + -6x2 + (-180 + -15x) = 0 Reorder the terms: -180 + -72x + -15x + -6x2 = 0 Combine like terms: -72x + -15x = -87x -180 + -87x + -6x2 = 0 Solving -180 + -87x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3'. -3(60 + 29x + 2x2) = 0 Factor a trinomial. -3((12 + x)(5 + 2x)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {-12, -2.5}
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