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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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