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Simplifying 5m + 1 = m2 + -49 Reorder the terms: 1 + 5m = m2 + -49 Reorder the terms: 1 + 5m = -49 + m2 Solving 1 + 5m = -49 + m2 Solving for variable 'm'. Reorder the terms: 1 + 49 + 5m + -1m2 = -49 + m2 + 49 + -1m2 Combine like terms: 1 + 49 = 50 50 + 5m + -1m2 = -49 + m2 + 49 + -1m2 Reorder the terms: 50 + 5m + -1m2 = -49 + 49 + m2 + -1m2 Combine like terms: -49 + 49 = 0 50 + 5m + -1m2 = 0 + m2 + -1m2 50 + 5m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 50 + 5m + -1m2 = 0 Factor a trinomial. (10 + -1m)(5 + m) = 0Subproblem 1
Set the factor '(10 + -1m)' equal to zero and attempt to solve: Simplifying 10 + -1m = 0 Solving 10 + -1m = 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 + -1m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1m = 0 + -10 -1m = 0 + -10 Combine like terms: 0 + -10 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10Subproblem 2
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Solution
m = {10, -5}
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