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Simplifying -108x = -36x2 + -81 Reorder the terms: -108x = -81 + -36x2 Solving -108x = -81 + -36x2 Solving for variable 'x'. Reorder the terms: 81 + -108x + 36x2 = -81 + -36x2 + 81 + 36x2 Reorder the terms: 81 + -108x + 36x2 = -81 + 81 + -36x2 + 36x2 Combine like terms: -81 + 81 = 0 81 + -108x + 36x2 = 0 + -36x2 + 36x2 81 + -108x + 36x2 = -36x2 + 36x2 Combine like terms: -36x2 + 36x2 = 0 81 + -108x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(9 + -12x + 4x2) = 0 Factor a trinomial. 9((3 + -2x)(3 + -2x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {1.5, 1.5}
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