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Simplifying 4m2n2 + 20mn + 25 = 0 Reorder the terms: 25 + 20mn + 4m2n2 = 0 Solving 25 + 20mn + 4m2n2 = 0 Solving for variable 'm'. Factor a trinomial. (5 + 2mn)(5 + 2mn) = 0Subproblem 1
Set the factor '(5 + 2mn)' equal to zero and attempt to solve: Simplifying 5 + 2mn = 0 Solving 5 + 2mn = 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 + 2mn = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2mn = 0 + -5 2mn = 0 + -5 Combine like terms: 0 + -5 = -5 2mn = -5 Divide each side by '2n'. m = -2.5n-1 Simplifying m = -2.5n-1Subproblem 2
Set the factor '(5 + 2mn)' equal to zero and attempt to solve: Simplifying 5 + 2mn = 0 Solving 5 + 2mn = 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 + 2mn = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2mn = 0 + -5 2mn = 0 + -5 Combine like terms: 0 + -5 = -5 2mn = -5 Divide each side by '2n'. m = -2.5n-1 Simplifying m = -2.5n-1Solution
m = {-2.5n-1, -2.5n-1}
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