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Simplifying 7m = -18 + m2 Solving 7m = -18 + m2 Solving for variable 'm'. Reorder the terms: 18 + 7m + -1m2 = -18 + m2 + 18 + -1m2 Reorder the terms: 18 + 7m + -1m2 = -18 + 18 + m2 + -1m2 Combine like terms: -18 + 18 = 0 18 + 7m + -1m2 = 0 + m2 + -1m2 18 + 7m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 18 + 7m + -1m2 = 0 Factor a trinomial. (9 + -1m)(2 + m) = 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 '(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 = {9, -2}
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