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Simplifying 2x2 = 16x + -24 Reorder the terms: 2x2 = -24 + 16x Solving 2x2 = -24 + 16x Solving for variable 'x'. Reorder the terms: 24 + -16x + 2x2 = -24 + 16x + 24 + -16x Reorder the terms: 24 + -16x + 2x2 = -24 + 24 + 16x + -16x Combine like terms: -24 + 24 = 0 24 + -16x + 2x2 = 0 + 16x + -16x 24 + -16x + 2x2 = 16x + -16x Combine like terms: 16x + -16x = 0 24 + -16x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -8x + 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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