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Simplifying (5x + 9)(x + 6) = 0 Reorder the terms: (9 + 5x)(x + 6) = 0 Reorder the terms: (9 + 5x)(6 + x) = 0 Multiply (9 + 5x) * (6 + x) (9(6 + x) + 5x * (6 + x)) = 0 ((6 * 9 + x * 9) + 5x * (6 + x)) = 0 ((54 + 9x) + 5x * (6 + x)) = 0 (54 + 9x + (6 * 5x + x * 5x)) = 0 (54 + 9x + (30x + 5x2)) = 0 Combine like terms: 9x + 30x = 39x (54 + 39x + 5x2) = 0 Solving 54 + 39x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + x)(9 + 5x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -1.8}
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