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Simplifying (5x + -9)(5x + -2) = 0 Reorder the terms: (-9 + 5x)(5x + -2) = 0 Reorder the terms: (-9 + 5x)(-2 + 5x) = 0 Multiply (-9 + 5x) * (-2 + 5x) (-9(-2 + 5x) + 5x * (-2 + 5x)) = 0 ((-2 * -9 + 5x * -9) + 5x * (-2 + 5x)) = 0 ((18 + -45x) + 5x * (-2 + 5x)) = 0 (18 + -45x + (-2 * 5x + 5x * 5x)) = 0 (18 + -45x + (-10x + 25x2)) = 0 Combine like terms: -45x + -10x = -55x (18 + -55x + 25x2) = 0 Solving 18 + -55x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x)(9 + -5x) = 0Subproblem 1
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 = 0.4Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {0.4, 1.8}
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