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Simplifying (8x + 9)(6x + 5x + 7) = 0 Reorder the terms: (9 + 8x)(6x + 5x + 7) = 0 Reorder the terms: (9 + 8x)(7 + 6x + 5x) = 0 Combine like terms: 6x + 5x = 11x (9 + 8x)(7 + 11x) = 0 Multiply (9 + 8x) * (7 + 11x) (9(7 + 11x) + 8x * (7 + 11x)) = 0 ((7 * 9 + 11x * 9) + 8x * (7 + 11x)) = 0 ((63 + 99x) + 8x * (7 + 11x)) = 0 (63 + 99x + (7 * 8x + 11x * 8x)) = 0 (63 + 99x + (56x + 88x2)) = 0 Combine like terms: 99x + 56x = 155x (63 + 155x + 88x2) = 0 Solving 63 + 155x + 88x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 8x)(7 + 11x) = 0Subproblem 1
Set the factor '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 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 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Subproblem 2
Set the factor '(7 + 11x)' equal to zero and attempt to solve: Simplifying 7 + 11x = 0 Solving 7 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 0 + -7 11x = 0 + -7 Combine like terms: 0 + -7 = -7 11x = -7 Divide each side by '11'. x = -0.6363636364 Simplifying x = -0.6363636364Solution
x = {-1.125, -0.6363636364}
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