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Simplifying (x + 9)(x + -36) = 0 Reorder the terms: (9 + x)(x + -36) = 0 Reorder the terms: (9 + x)(-36 + x) = 0 Multiply (9 + x) * (-36 + x) (9(-36 + x) + x(-36 + x)) = 0 ((-36 * 9 + x * 9) + x(-36 + x)) = 0 ((-324 + 9x) + x(-36 + x)) = 0 (-324 + 9x + (-36 * x + x * x)) = 0 (-324 + 9x + (-36x + x2)) = 0 Combine like terms: 9x + -36x = -27x (-324 + -27x + x2) = 0 Solving -324 + -27x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(36 + -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 '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Solution
x = {-9, 36}
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