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Simplifying 6x2 = 12x + 288 Reorder the terms: 6x2 = 288 + 12x Solving 6x2 = 288 + 12x Solving for variable 'x'. Reorder the terms: -288 + -12x + 6x2 = 288 + 12x + -288 + -12x Reorder the terms: -288 + -12x + 6x2 = 288 + -288 + 12x + -12x Combine like terms: 288 + -288 = 0 -288 + -12x + 6x2 = 0 + 12x + -12x -288 + -12x + 6x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -288 + -12x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-48 + -2x + x2) = 0 Factor a trinomial. 6((-6 + -1x)(8 + -1x)) = 0 Ignore the factor 6.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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-6, 8}
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