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Simplifying (5x + -5)(9x + -9) = 0 Reorder the terms: (-5 + 5x)(9x + -9) = 0 Reorder the terms: (-5 + 5x)(-9 + 9x) = 0 Multiply (-5 + 5x) * (-9 + 9x) (-5(-9 + 9x) + 5x * (-9 + 9x)) = 0 ((-9 * -5 + 9x * -5) + 5x * (-9 + 9x)) = 0 ((45 + -45x) + 5x * (-9 + 9x)) = 0 (45 + -45x + (-9 * 5x + 9x * 5x)) = 0 (45 + -45x + (-45x + 45x2)) = 0 Combine like terms: -45x + -45x = -90x (45 + -90x + 45x2) = 0 Solving 45 + -90x + 45x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '45'. 45(1 + -2x + x2) = 0 Factor a trinomial. 45((1 + -1x)(1 + -1x)) = 0 Ignore the factor 45.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 '(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 = 1Solution
x = {1, 1}
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