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Simplifying m2 = -11m + -10 Reorder the terms: m2 = -10 + -11m Solving m2 = -10 + -11m Solving for variable 'm'. Reorder the terms: 10 + 11m + m2 = -10 + -11m + 10 + 11m Reorder the terms: 10 + 11m + m2 = -10 + 10 + -11m + 11m Combine like terms: -10 + 10 = 0 10 + 11m + m2 = 0 + -11m + 11m 10 + 11m + m2 = -11m + 11m Combine like terms: -11m + 11m = 0 10 + 11m + m2 = 0 Factor a trinomial. (10 + m)(1 + m) = 0Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10Subproblem 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 = {-10, -1}
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