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Simplifying 8x2 + 72x + -282 = 6 Reorder the terms: -282 + 72x + 8x2 = 6 Solving -282 + 72x + 8x2 = 6 Solving for variable 'x'. Reorder the terms: -282 + -6 + 72x + 8x2 = 6 + -6 Combine like terms: -282 + -6 = -288 -288 + 72x + 8x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -288 + 72x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-36 + 9x + x2) = 0 Factor a trinomial. 8((-12 + -1x)(3 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
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 = 3Solution
x = {-12, 3}
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