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Simplifying (9x + 8)(9x + 3) = 0 Reorder the terms: (8 + 9x)(9x + 3) = 0 Reorder the terms: (8 + 9x)(3 + 9x) = 0 Multiply (8 + 9x) * (3 + 9x) (8(3 + 9x) + 9x * (3 + 9x)) = 0 ((3 * 8 + 9x * 8) + 9x * (3 + 9x)) = 0 ((24 + 72x) + 9x * (3 + 9x)) = 0 (24 + 72x + (3 * 9x + 9x * 9x)) = 0 (24 + 72x + (27x + 81x2)) = 0 Combine like terms: 72x + 27x = 99x (24 + 99x + 81x2) = 0 Solving 24 + 99x + 81x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(8 + 33x + 27x2) = 0 Factor a trinomial. 3((8 + 9x)(1 + 3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + 9x)' equal to zero and attempt to solve: Simplifying 8 + 9x = 0 Solving 8 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 0 + -8 9x = 0 + -8 Combine like terms: 0 + -8 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889Subproblem 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 = {-0.8888888889, -0.3333333333}
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