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Simplifying (4x + 9)(5x + 1) = 0 Reorder the terms: (9 + 4x)(5x + 1) = 0 Reorder the terms: (9 + 4x)(1 + 5x) = 0 Multiply (9 + 4x) * (1 + 5x) (9(1 + 5x) + 4x * (1 + 5x)) = 0 ((1 * 9 + 5x * 9) + 4x * (1 + 5x)) = 0 ((9 + 45x) + 4x * (1 + 5x)) = 0 (9 + 45x + (1 * 4x + 5x * 4x)) = 0 (9 + 45x + (4x + 20x2)) = 0 Combine like terms: 45x + 4x = 49x (9 + 49x + 20x2) = 0 Solving 9 + 49x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 4x)(1 + 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 '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {-2.25, -0.2}
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