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Simplifying 324 = (m + -27) * m Reorder the terms: 324 = (-27 + m) * m Reorder the terms for easier multiplication: 324 = m(-27 + m) 324 = (-27 * m + m * m) 324 = (-27m + m2) Solving 324 = -27m + m2 Solving for variable 'm'. Reorder the terms: 324 + 27m + -1m2 = -27m + 27m + m2 + -1m2 Combine like terms: -27m + 27m = 0 324 + 27m + -1m2 = 0 + m2 + -1m2 324 + 27m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 324 + 27m + -1m2 = 0 Factor a trinomial. (36 + -1m)(9 + m) = 0Subproblem 1
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 = 36Subproblem 2
Set the factor '(9 + m)' equal to zero and attempt to solve: Simplifying 9 + m = 0 Solving 9 + m = 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 + m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m = 0 + -9 m = 0 + -9 Combine like terms: 0 + -9 = -9 m = -9 Simplifying m = -9Solution
m = {36, -9}
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