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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 = 4x (-45 + 4x + x2) = 0 Solving -45 + 4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(5 + -1x) = 0Subproblem 1
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 = -9Subproblem 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 = {-9, 5}
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