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Simplifying (m + -27)(m) = 324 Reorder the terms: (-27 + m)(m) = 324 Reorder the terms for easier multiplication: m(-27 + m) = 324 (-27 * m + m * m) = 324 (-27m + m2) = 324 Solving -27m + m2 = 324 Solving for variable 'm'. Reorder the terms: -324 + -27m + m2 = 324 + -324 Combine like terms: 324 + -324 = 0 -324 + -27m + m2 = 0 Factor a trinomial. (-9 + -1m)(36 + -1m) = 0Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve: Simplifying -9 + -1m = 0 Solving -9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 0 + 9 -1m = 0 + 9 Combine like terms: 0 + 9 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9Subproblem 2
Set the factor '(36 + -1m)' equal to zero and attempt to solve: Simplifying 36 + -1m = 0 Solving 36 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1m = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1m = 0 + -36 -1m = 0 + -36 Combine like terms: 0 + -36 = -36 -1m = -36 Divide each side by '-1'. m = 36 Simplifying m = 36Solution
m = {-9, 36}
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