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Simplifying (2x + 10)(x + -12) = 0 Reorder the terms: (10 + 2x)(x + -12) = 0 Reorder the terms: (10 + 2x)(-12 + x) = 0 Multiply (10 + 2x) * (-12 + x) (10(-12 + x) + 2x * (-12 + x)) = 0 ((-12 * 10 + x * 10) + 2x * (-12 + x)) = 0 ((-120 + 10x) + 2x * (-12 + x)) = 0 (-120 + 10x + (-12 * 2x + x * 2x)) = 0 (-120 + 10x + (-24x + 2x2)) = 0 Combine like terms: 10x + -24x = -14x (-120 + -14x + 2x2) = 0 Solving -120 + -14x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + -7x + x2) = 0 Factor a trinomial. 2((-5 + -1x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -5Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 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 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-5, 12}
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