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Simplifying (x + -3)(x + 5) + -9 = 0 Reorder the terms: (-3 + x)(x + 5) + -9 = 0 Reorder the terms: (-3 + x)(5 + x) + -9 = 0 Multiply (-3 + x) * (5 + x) (-3(5 + x) + x(5 + x)) + -9 = 0 ((5 * -3 + x * -3) + x(5 + x)) + -9 = 0 ((-15 + -3x) + x(5 + x)) + -9 = 0 (-15 + -3x + (5 * x + x * x)) + -9 = 0 (-15 + -3x + (5x + x2)) + -9 = 0 Combine like terms: -3x + 5x = 2x (-15 + 2x + x2) + -9 = 0 Reorder the terms: -15 + -9 + 2x + x2 = 0 Combine like terms: -15 + -9 = -24 -24 + 2x + x2 = 0 Solving -24 + 2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-6, 4}
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