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Simplifying 7m + 25 = m2 + 2m + 1 Reorder the terms: 25 + 7m = m2 + 2m + 1 Reorder the terms: 25 + 7m = 1 + 2m + m2 Solving 25 + 7m = 1 + 2m + m2 Solving for variable 'm'. Reorder the terms: 25 + -1 + 7m + -2m + -1m2 = 1 + 2m + m2 + -1 + -2m + -1m2 Combine like terms: 25 + -1 = 24 24 + 7m + -2m + -1m2 = 1 + 2m + m2 + -1 + -2m + -1m2 Combine like terms: 7m + -2m = 5m 24 + 5m + -1m2 = 1 + 2m + m2 + -1 + -2m + -1m2 Reorder the terms: 24 + 5m + -1m2 = 1 + -1 + 2m + -2m + m2 + -1m2 Combine like terms: 1 + -1 = 0 24 + 5m + -1m2 = 0 + 2m + -2m + m2 + -1m2 24 + 5m + -1m2 = 2m + -2m + m2 + -1m2 Combine like terms: 2m + -2m = 0 24 + 5m + -1m2 = 0 + m2 + -1m2 24 + 5m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 24 + 5m + -1m2 = 0 Factor a trinomial. (8 + -1m)(3 + m) = 0Subproblem 1
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Subproblem 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 = {8, -3}
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