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Simplifying m2 + 77 = -18m Reorder the terms: 77 + m2 = -18m Solving 77 + m2 = -18m Solving for variable 'm'. Reorder the terms: 77 + 18m + m2 = -18m + 18m Combine like terms: -18m + 18m = 0 77 + 18m + m2 = 0 Factor a trinomial. (11 + m)(7 + m) = 0Subproblem 1
Set the factor '(11 + m)' equal to zero and attempt to solve: Simplifying 11 + m = 0 Solving 11 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + m = 0 + -11 m = 0 + -11 Combine like terms: 0 + -11 = -11 m = -11 Simplifying m = -11Subproblem 2
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 = -7Solution
m = {-11, -7}
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