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Simplifying (8x + 9)(5x + 2) = 0 Reorder the terms: (9 + 8x)(5x + 2) = 0 Reorder the terms: (9 + 8x)(2 + 5x) = 0 Multiply (9 + 8x) * (2 + 5x) (9(2 + 5x) + 8x * (2 + 5x)) = 0 ((2 * 9 + 5x * 9) + 8x * (2 + 5x)) = 0 ((18 + 45x) + 8x * (2 + 5x)) = 0 (18 + 45x + (2 * 8x + 5x * 8x)) = 0 (18 + 45x + (16x + 40x2)) = 0 Combine like terms: 45x + 16x = 61x (18 + 61x + 40x2) = 0 Solving 18 + 61x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 8x)(2 + 5x) = 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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-1.125, -0.4}
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