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Simplifying 3m2 = -10m + -7 Reorder the terms: 3m2 = -7 + -10m Solving 3m2 = -7 + -10m Solving for variable 'm'. Reorder the terms: 7 + 10m + 3m2 = -7 + -10m + 7 + 10m Reorder the terms: 7 + 10m + 3m2 = -7 + 7 + -10m + 10m Combine like terms: -7 + 7 = 0 7 + 10m + 3m2 = 0 + -10m + 10m 7 + 10m + 3m2 = -10m + 10m Combine like terms: -10m + 10m = 0 7 + 10m + 3m2 = 0 Factor a trinomial. (7 + 3m)(1 + m) = 0Subproblem 1
Set the factor '(7 + 3m)' equal to zero and attempt to solve: Simplifying 7 + 3m = 0 Solving 7 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3m = 0 + -7 3m = 0 + -7 Combine like terms: 0 + -7 = -7 3m = -7 Divide each side by '3'. m = -2.333333333 Simplifying m = -2.333333333Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Solution
m = {-2.333333333, -1}
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