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Simplifying (5x + -5)(5x + -9) = 0 Reorder the terms: (-5 + 5x)(5x + -9) = 0 Reorder the terms: (-5 + 5x)(-9 + 5x) = 0 Multiply (-5 + 5x) * (-9 + 5x) (-5(-9 + 5x) + 5x * (-9 + 5x)) = 0 ((-9 * -5 + 5x * -5) + 5x * (-9 + 5x)) = 0 ((45 + -25x) + 5x * (-9 + 5x)) = 0 (45 + -25x + (-9 * 5x + 5x * 5x)) = 0 (45 + -25x + (-45x + 25x2)) = 0 Combine like terms: -25x + -45x = -70x (45 + -70x + 25x2) = 0 Solving 45 + -70x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(9 + -14x + 5x2) = 0 Factor a trinomial. 5((1 + -1x)(9 + -5x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 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 = {1, 1.8}
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