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Simplifying 8x2 = 12x + 8 Reorder the terms: 8x2 = 8 + 12x Solving 8x2 = 8 + 12x Solving for variable 'x'. Reorder the terms: -8 + -12x + 8x2 = 8 + 12x + -8 + -12x Reorder the terms: -8 + -12x + 8x2 = 8 + -8 + 12x + -12x Combine like terms: 8 + -8 = 0 -8 + -12x + 8x2 = 0 + 12x + -12x -8 + -12x + 8x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -12x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + -3x + 2x2) = 0 Factor a trinomial. 4((-1 + -2x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
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 = 2Solution
x = {-0.5, 2}
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