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Simplifying 4m2 + 20m + 25 = 100 Reorder the terms: 25 + 20m + 4m2 = 100 Solving 25 + 20m + 4m2 = 100 Solving for variable 'm'. Reorder the terms: 25 + -100 + 20m + 4m2 = 100 + -100 Combine like terms: 25 + -100 = -75 -75 + 20m + 4m2 = 100 + -100 Combine like terms: 100 + -100 = 0 -75 + 20m + 4m2 = 0 Factor a trinomial. (-15 + -2m)(5 + -2m) = 0Subproblem 1
Set the factor '(-15 + -2m)' equal to zero and attempt to solve: Simplifying -15 + -2m = 0 Solving -15 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2m = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2m = 0 + 15 -2m = 0 + 15 Combine like terms: 0 + 15 = 15 -2m = 15 Divide each side by '-2'. m = -7.5 Simplifying m = -7.5Subproblem 2
Set the factor '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 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 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Solution
m = {-7.5, 2.5}
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