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Simplifying 18x2 + -34x + -1152 = 0 Reorder the terms: -1152 + -34x + 18x2 = 0 Solving -1152 + -34x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-576 + -17x + 9x2) = 0 Factor a trinomial. 2((-64 + -9x)(9 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-64 + -9x)' equal to zero and attempt to solve: Simplifying -64 + -9x = 0 Solving -64 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -9x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -9x = 0 + 64 -9x = 0 + 64 Combine like terms: 0 + 64 = 64 -9x = 64 Divide each side by '-9'. x = -7.111111111 Simplifying x = -7.111111111Subproblem 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 = {-7.111111111, 9}
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