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Simplifying (2x + -4)(x + 6) = 936 Reorder the terms: (-4 + 2x)(x + 6) = 936 Reorder the terms: (-4 + 2x)(6 + x) = 936 Multiply (-4 + 2x) * (6 + x) (-4(6 + x) + 2x * (6 + x)) = 936 ((6 * -4 + x * -4) + 2x * (6 + x)) = 936 ((-24 + -4x) + 2x * (6 + x)) = 936 (-24 + -4x + (6 * 2x + x * 2x)) = 936 (-24 + -4x + (12x + 2x2)) = 936 Combine like terms: -4x + 12x = 8x (-24 + 8x + 2x2) = 936 Solving -24 + 8x + 2x2 = 936 Solving for variable 'x'. Reorder the terms: -24 + -936 + 8x + 2x2 = 936 + -936 Combine like terms: -24 + -936 = -960 -960 + 8x + 2x2 = 936 + -936 Combine like terms: 936 + -936 = 0 -960 + 8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-480 + 4x + x2) = 0 Factor a trinomial. 2((-24 + -1x)(20 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve: Simplifying -24 + -1x = 0 Solving -24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 0 + 24 -1x = 0 + 24 Combine like terms: 0 + 24 = 24 -1x = 24 Divide each side by '-1'. x = -24 Simplifying x = -24Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-24, 20}
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