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Simplifying 0 = 81x2 + 108x + 36 Reorder the terms: 0 = 36 + 108x + 81x2 Solving 0 = 36 + 108x + 81x2 Solving for variable 'x'. Combine like terms: 0 + -36 = -36 -36 + -108x + -81x2 = 36 + 108x + 81x2 + -36 + -108x + -81x2 Reorder the terms: -36 + -108x + -81x2 = 36 + -36 + 108x + -108x + 81x2 + -81x2 Combine like terms: 36 + -36 = 0 -36 + -108x + -81x2 = 0 + 108x + -108x + 81x2 + -81x2 -36 + -108x + -81x2 = 108x + -108x + 81x2 + -81x2 Combine like terms: 108x + -108x = 0 -36 + -108x + -81x2 = 0 + 81x2 + -81x2 -36 + -108x + -81x2 = 81x2 + -81x2 Combine like terms: 81x2 + -81x2 = 0 -36 + -108x + -81x2 = 0 Factor out the Greatest Common Factor (GCF), '-9'. -9(4 + 12x + 9x2) = 0 Factor a trinomial. -9((2 + 3x)(2 + 3x)) = 0 Ignore the factor -9.Subproblem 1
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-0.6666666667, -0.6666666667}
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