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Simplifying 8x2 + -16x + -18 = 6x2 Reorder the terms: -18 + -16x + 8x2 = 6x2 Solving -18 + -16x + 8x2 = 6x2 Solving for variable 'x'. Combine like terms: 8x2 + -6x2 = 2x2 -18 + -16x + 2x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -18 + -16x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + -8x + x2) = 0 Factor a trinomial. 2((-1 + -1x)(9 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-1, 9}
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