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Simplifying (6x + 5)(9x + 9) = 0 Reorder the terms: (5 + 6x)(9x + 9) = 0 Reorder the terms: (5 + 6x)(9 + 9x) = 0 Multiply (5 + 6x) * (9 + 9x) (5(9 + 9x) + 6x * (9 + 9x)) = 0 ((9 * 5 + 9x * 5) + 6x * (9 + 9x)) = 0 ((45 + 45x) + 6x * (9 + 9x)) = 0 (45 + 45x + (9 * 6x + 9x * 6x)) = 0 (45 + 45x + (54x + 54x2)) = 0 Combine like terms: 45x + 54x = 99x (45 + 99x + 54x2) = 0 Solving 45 + 99x + 54x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(5 + 11x + 6x2) = 0 Factor a trinomial. 9((1 + x)(5 + 6x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {-1, -0.8333333333}
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