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Simplifying (9x + -6)(9x + -6) = 0 Reorder the terms: (-6 + 9x)(9x + -6) = 0 Reorder the terms: (-6 + 9x)(-6 + 9x) = 0 Multiply (-6 + 9x) * (-6 + 9x) (-6(-6 + 9x) + 9x * (-6 + 9x)) = 0 ((-6 * -6 + 9x * -6) + 9x * (-6 + 9x)) = 0 ((36 + -54x) + 9x * (-6 + 9x)) = 0 (36 + -54x + (-6 * 9x + 9x * 9x)) = 0 (36 + -54x + (-54x + 81x2)) = 0 Combine like terms: -54x + -54x = -108x (36 + -108x + 81x2) = 0 Solving 36 + -108x + 81x2 = 0 Solving for variable 'x'. 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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