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Simplifying 16m = m2 + -36 Reorder the terms: 16m = -36 + m2 Solving 16m = -36 + m2 Solving for variable 'm'. Reorder the terms: 36 + 16m + -1m2 = -36 + m2 + 36 + -1m2 Reorder the terms: 36 + 16m + -1m2 = -36 + 36 + m2 + -1m2 Combine like terms: -36 + 36 = 0 36 + 16m + -1m2 = 0 + m2 + -1m2 36 + 16m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 36 + 16m + -1m2 = 0 Factor a trinomial. (18 + -1m)(2 + m) = 0Subproblem 1
Set the factor '(18 + -1m)' equal to zero and attempt to solve: Simplifying 18 + -1m = 0 Solving 18 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1m = 0 + -18 -1m = 0 + -18 Combine like terms: 0 + -18 = -18 -1m = -18 Divide each side by '-1'. m = 18 Simplifying m = 18Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Solution
m = {18, -2}
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