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Simplifying (x + -5)(x + -9) = 0 Reorder the terms: (-5 + x)(x + -9) = 0 Reorder the terms: (-5 + x)(-9 + x) = 0 Multiply (-5 + x) * (-9 + x) (-5(-9 + x) + x(-9 + x)) = 0 ((-9 * -5 + x * -5) + x(-9 + x)) = 0 ((45 + -5x) + x(-9 + x)) = 0 (45 + -5x + (-9 * x + x * x)) = 0 (45 + -5x + (-9x + x2)) = 0 Combine like terms: -5x + -9x = -14x (45 + -14x + x2) = 0 Solving 45 + -14x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(9 + -1x) = 0Subproblem 1
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 = 5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {5, 9}
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