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Simplifying (3x + 6)(9x + 8) = 0 Reorder the terms: (6 + 3x)(9x + 8) = 0 Reorder the terms: (6 + 3x)(8 + 9x) = 0 Multiply (6 + 3x) * (8 + 9x) (6(8 + 9x) + 3x * (8 + 9x)) = 0 ((8 * 6 + 9x * 6) + 3x * (8 + 9x)) = 0 ((48 + 54x) + 3x * (8 + 9x)) = 0 (48 + 54x + (8 * 3x + 9x * 3x)) = 0 (48 + 54x + (24x + 27x2)) = 0 Combine like terms: 54x + 24x = 78x (48 + 78x + 27x2) = 0 Solving 48 + 78x + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(16 + 26x + 9x2) = 0 Factor a trinomial. 3((2 + x)(8 + 9x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
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 = -0.8888888889Solution
x = {-2, -0.8888888889}
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