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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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