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Simplifying (x + 6)(x + -9) = 0 Reorder the terms: (6 + x)(x + -9) = 0 Reorder the terms: (6 + x)(-9 + x) = 0 Multiply (6 + x) * (-9 + x) (6(-9 + x) + x(-9 + x)) = 0 ((-9 * 6 + x * 6) + x(-9 + x)) = 0 ((-54 + 6x) + x(-9 + x)) = 0 (-54 + 6x + (-9 * x + x * x)) = 0 (-54 + 6x + (-9x + x2)) = 0 Combine like terms: 6x + -9x = -3x (-54 + -3x + x2) = 0 Solving -54 + -3x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(9 + -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 '(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 = {-6, 9}
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