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Simplifying (7 + 8x)(9 + 5x) = 0 Multiply (7 + 8x) * (9 + 5x) (7(9 + 5x) + 8x * (9 + 5x)) = 0 ((9 * 7 + 5x * 7) + 8x * (9 + 5x)) = 0 ((63 + 35x) + 8x * (9 + 5x)) = 0 (63 + 35x + (9 * 8x + 5x * 8x)) = 0 (63 + 35x + (72x + 40x2)) = 0 Combine like terms: 35x + 72x = 107x (63 + 107x + 40x2) = 0 Solving 63 + 107x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 5x)(7 + 8x) = 0Subproblem 1
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 = -1.8Subproblem 2
Set the factor '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 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 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875Solution
x = {-1.8, -0.875}
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