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Simplifying (5x + 8)(2x + 9) = 0 Reorder the terms: (8 + 5x)(2x + 9) = 0 Reorder the terms: (8 + 5x)(9 + 2x) = 0 Multiply (8 + 5x) * (9 + 2x) (8(9 + 2x) + 5x * (9 + 2x)) = 0 ((9 * 8 + 2x * 8) + 5x * (9 + 2x)) = 0 ((72 + 16x) + 5x * (9 + 2x)) = 0 (72 + 16x + (9 * 5x + 2x * 5x)) = 0 (72 + 16x + (45x + 10x2)) = 0 Combine like terms: 16x + 45x = 61x (72 + 61x + 10x2) = 0 Solving 72 + 61x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 2x)(8 + 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 '(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 = {-4.5, -1.6}
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