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Simplifying 18x2 + -52x = 6 Reorder the terms: -52x + 18x2 = 6 Solving -52x + 18x2 = 6 Solving for variable 'x'. Reorder the terms: -6 + -52x + 18x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -52x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -26x + 9x2) = 0 Factor a trinomial. 2((-1 + -9x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -9x)' equal to zero and attempt to solve: Simplifying -1 + -9x = 0 Solving -1 + -9x = 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 + -9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 0 + 1 -9x = 0 + 1 Combine like terms: 0 + 1 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111Subproblem 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 = {-0.1111111111, 3}
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