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Simplifying (5x + -9)(x + -5) = 0 Reorder the terms: (-9 + 5x)(x + -5) = 0 Reorder the terms: (-9 + 5x)(-5 + x) = 0 Multiply (-9 + 5x) * (-5 + x) (-9(-5 + x) + 5x * (-5 + x)) = 0 ((-5 * -9 + x * -9) + 5x * (-5 + x)) = 0 ((45 + -9x) + 5x * (-5 + x)) = 0 (45 + -9x + (-5 * 5x + x * 5x)) = 0 (45 + -9x + (-25x + 5x2)) = 0 Combine like terms: -9x + -25x = -34x (45 + -34x + 5x2) = 0 Solving 45 + -34x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -5x)(5 + -1x) = 0Subproblem 1
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 = 1.8Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {1.8, 5}
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