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Simplifying (8x + 6)(9x + 5) = 0 Reorder the terms: (6 + 8x)(9x + 5) = 0 Reorder the terms: (6 + 8x)(5 + 9x) = 0 Multiply (6 + 8x) * (5 + 9x) (6(5 + 9x) + 8x * (5 + 9x)) = 0 ((5 * 6 + 9x * 6) + 8x * (5 + 9x)) = 0 ((30 + 54x) + 8x * (5 + 9x)) = 0 (30 + 54x + (5 * 8x + 9x * 8x)) = 0 (30 + 54x + (40x + 72x2)) = 0 Combine like terms: 54x + 40x = 94x (30 + 94x + 72x2) = 0 Solving 30 + 94x + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 47x + 36x2) = 0 Factor a trinomial. 2((3 + 4x)(5 + 9x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(5 + 9x)' equal to zero and attempt to solve: Simplifying 5 + 9x = 0 Solving 5 + 9x = 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 + 9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 0 + -5 9x = 0 + -5 Combine like terms: 0 + -5 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556Solution
x = {-0.75, -0.5555555556}
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