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Simplifying (2x + 9)(5x + 6) = 0 Reorder the terms: (9 + 2x)(5x + 6) = 0 Reorder the terms: (9 + 2x)(6 + 5x) = 0 Multiply (9 + 2x) * (6 + 5x) (9(6 + 5x) + 2x * (6 + 5x)) = 0 ((6 * 9 + 5x * 9) + 2x * (6 + 5x)) = 0 ((54 + 45x) + 2x * (6 + 5x)) = 0 (54 + 45x + (6 * 2x + 5x * 2x)) = 0 (54 + 45x + (12x + 10x2)) = 0 Combine like terms: 45x + 12x = 57x (54 + 57x + 10x2) = 0 Solving 54 + 57x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 2x)(6 + 5x) = 0Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 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 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-4.5, -1.2}
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