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Simplifying 12x2 + -168 = 8x + -4x2 Reorder the terms: -168 + 12x2 = 8x + -4x2 Solving -168 + 12x2 = 8x + -4x2 Solving for variable 'x'. Reorder the terms: -168 + -8x + 12x2 + 4x2 = 8x + -4x2 + -8x + 4x2 Combine like terms: 12x2 + 4x2 = 16x2 -168 + -8x + 16x2 = 8x + -4x2 + -8x + 4x2 Reorder the terms: -168 + -8x + 16x2 = 8x + -8x + -4x2 + 4x2 Combine like terms: 8x + -8x = 0 -168 + -8x + 16x2 = 0 + -4x2 + 4x2 -168 + -8x + 16x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -168 + -8x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-21 + -1x + 2x2) = 0 Factor a trinomial. 8((-3 + -1x)(7 + -2x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-3, 3.5}
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