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Simplifying 2x2 + -8x + -24 = 936 Reorder the terms: -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((-20 + -1x)(24 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -20Subproblem 2
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 = 24Solution
x = {-20, 24}
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