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Simplifying (2x + 9)(5x + 4) = 0 Reorder the terms: (9 + 2x)(5x + 4) = 0 Reorder the terms: (9 + 2x)(4 + 5x) = 0 Multiply (9 + 2x) * (4 + 5x) (9(4 + 5x) + 2x * (4 + 5x)) = 0 ((4 * 9 + 5x * 9) + 2x * (4 + 5x)) = 0 ((36 + 45x) + 2x * (4 + 5x)) = 0 (36 + 45x + (4 * 2x + 5x * 2x)) = 0 (36 + 45x + (8x + 10x2)) = 0 Combine like terms: 45x + 8x = 53x (36 + 53x + 10x2) = 0 Solving 36 + 53x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 2x)(4 + 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 '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-4.5, -0.8}
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