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