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Simplifying 2x2 = 2x + 144 Reorder the terms: 2x2 = 144 + 2x Solving 2x2 = 144 + 2x Solving for variable 'x'. Reorder the terms: -144 + -2x + 2x2 = 144 + 2x + -144 + -2x Reorder the terms: -144 + -2x + 2x2 = 144 + -144 + 2x + -2x Combine like terms: 144 + -144 = 0 -144 + -2x + 2x2 = 0 + 2x + -2x -144 + -2x + 2x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -144 + -2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-72 + -1x + x2) = 0 Factor a trinomial. 2((-8 + -1x)(9 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-8, 9}
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