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Simplifying (4x + 9)(5x + 8) = 0 Reorder the terms: (9 + 4x)(5x + 8) = 0 Reorder the terms: (9 + 4x)(8 + 5x) = 0 Multiply (9 + 4x) * (8 + 5x) (9(8 + 5x) + 4x * (8 + 5x)) = 0 ((8 * 9 + 5x * 9) + 4x * (8 + 5x)) = 0 ((72 + 45x) + 4x * (8 + 5x)) = 0 (72 + 45x + (8 * 4x + 5x * 4x)) = 0 (72 + 45x + (32x + 20x2)) = 0 Combine like terms: 45x + 32x = 77x (72 + 77x + 20x2) = 0 Solving 72 + 77x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 4x)(8 + 5x) = 0Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 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 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Subproblem 2
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Solution
x = {-2.25, -1.6}
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