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Simplifying 12 = 2x2 + -8x + -12 Reorder the terms: 12 = -12 + -8x + 2x2 Solving 12 = -12 + -8x + 2x2 Solving for variable 'x'. Combine like terms: 12 + 12 = 24 24 + 8x + -2x2 = -12 + -8x + 2x2 + 12 + 8x + -2x2 Reorder the terms: 24 + 8x + -2x2 = -12 + 12 + -8x + 8x + 2x2 + -2x2 Combine like terms: -12 + 12 = 0 24 + 8x + -2x2 = 0 + -8x + 8x + 2x2 + -2x2 24 + 8x + -2x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 24 + 8x + -2x2 = 0 + 2x2 + -2x2 24 + 8x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 24 + 8x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 4x + -1x2) = 0 Factor a trinomial. 2((6 + -1x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
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 = 6Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {6, -2}
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