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Simplifying (2x + 6)(5x + 9) = 0 Reorder the terms: (6 + 2x)(5x + 9) = 0 Reorder the terms: (6 + 2x)(9 + 5x) = 0 Multiply (6 + 2x) * (9 + 5x) (6(9 + 5x) + 2x * (9 + 5x)) = 0 ((9 * 6 + 5x * 6) + 2x * (9 + 5x)) = 0 ((54 + 30x) + 2x * (9 + 5x)) = 0 (54 + 30x + (9 * 2x + 5x * 2x)) = 0 (54 + 30x + (18x + 10x2)) = 0 Combine like terms: 30x + 18x = 48x (54 + 48x + 10x2) = 0 Solving 54 + 48x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(27 + 24x + 5x2) = 0 Factor a trinomial. 2((3 + x)(9 + 5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {-3, -1.8}
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