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Simplifying (5x + 6)(8x + 9) = 0 Reorder the terms: (6 + 5x)(8x + 9) = 0 Reorder the terms: (6 + 5x)(9 + 8x) = 0 Multiply (6 + 5x) * (9 + 8x) (6(9 + 8x) + 5x * (9 + 8x)) = 0 ((9 * 6 + 8x * 6) + 5x * (9 + 8x)) = 0 ((54 + 48x) + 5x * (9 + 8x)) = 0 (54 + 48x + (9 * 5x + 8x * 5x)) = 0 (54 + 48x + (45x + 40x2)) = 0 Combine like terms: 48x + 45x = 93x (54 + 93x + 40x2) = 0 Solving 54 + 93x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + 5x)(9 + 8x) = 0Subproblem 1
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Subproblem 2
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 = -1.125Solution
x = {-1.2, -1.125}
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