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