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Simplifying m2 = -21 + -10m Solving m2 = -21 + -10m Solving for variable 'm'. Reorder the terms: 21 + 10m + m2 = -21 + -10m + 21 + 10m Reorder the terms: 21 + 10m + m2 = -21 + 21 + -10m + 10m Combine like terms: -21 + 21 = 0 21 + 10m + m2 = 0 + -10m + 10m 21 + 10m + m2 = -10m + 10m Combine like terms: -10m + 10m = 0 21 + 10m + m2 = 0 Factor a trinomial. (7 + m)(3 + m) = 0Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve: Simplifying 7 + m = 0 Solving 7 + m = 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 + m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m = 0 + -7 m = 0 + -7 Combine like terms: 0 + -7 = -7 m = -7 Simplifying m = -7Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Solution
m = {-7, -3}
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