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Simplifying m2 + 25m + 100 = 0 Reorder the terms: 100 + 25m + m2 = 0 Solving 100 + 25m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (20 + m)(5 + m) = 0Subproblem 1
Set the factor '(20 + m)' equal to zero and attempt to solve: Simplifying 20 + m = 0 Solving 20 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + m = 0 + -20 m = 0 + -20 Combine like terms: 0 + -20 = -20 m = -20 Simplifying m = -20Subproblem 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 = {-20, -5}
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