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Simplifying (9x + 3)(9x + 3) = 0 Reorder the terms: (3 + 9x)(9x + 3) = 0 Reorder the terms: (3 + 9x)(3 + 9x) = 0 Multiply (3 + 9x) * (3 + 9x) (3(3 + 9x) + 9x * (3 + 9x)) = 0 ((3 * 3 + 9x * 3) + 9x * (3 + 9x)) = 0 ((9 + 27x) + 9x * (3 + 9x)) = 0 (9 + 27x + (3 * 9x + 9x * 9x)) = 0 (9 + 27x + (27x + 81x2)) = 0 Combine like terms: 27x + 27x = 54x (9 + 54x + 81x2) = 0 Solving 9 + 54x + 81x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(1 + 6x + 9x2) = 0 Factor a trinomial. 9((1 + 3x)(1 + 3x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-0.3333333333, -0.3333333333}
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