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Simplifying -4x(x + 6) + -2(x + -9) = -12 Reorder the terms: -4x(6 + x) + -2(x + -9) = -12 (6 * -4x + x * -4x) + -2(x + -9) = -12 (-24x + -4x2) + -2(x + -9) = -12 Reorder the terms: -24x + -4x2 + -2(-9 + x) = -12 -24x + -4x2 + (-9 * -2 + x * -2) = -12 -24x + -4x2 + (18 + -2x) = -12 Reorder the terms: 18 + -24x + -2x + -4x2 = -12 Combine like terms: -24x + -2x = -26x 18 + -26x + -4x2 = -12 Solving 18 + -26x + -4x2 = -12 Solving for variable 'x'. Reorder the terms: 18 + 12 + -26x + -4x2 = -12 + 12 Combine like terms: 18 + 12 = 30 30 + -26x + -4x2 = -12 + 12 Combine like terms: -12 + 12 = 0 30 + -26x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -13x + -2x2) = 0 Factor a trinomial. 2((1 + -1x)(15 + 2x)) = 0 Ignore the factor 2.Subproblem 1
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 2
Set the factor '(15 + 2x)' equal to zero and attempt to solve: Simplifying 15 + 2x = 0 Solving 15 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 0 + -15 2x = 0 + -15 Combine like terms: 0 + -15 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5Solution
x = {1, -7.5}
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