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Simplifying 4m2 + 20mn + 25n2 = 0 Reorder the terms: 20mn + 4m2 + 25n2 = 0 Solving 20mn + 4m2 + 25n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + 5n)(2m + 5n) = 0Subproblem 1
Set the factor '(2m + 5n)' equal to zero and attempt to solve: Simplifying 2m + 5n = 0 Solving 2m + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 2m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 2m + 0 = 0 + -5n 2m = 0 + -5n Remove the zero: 2m = -5n Divide each side by '2'. m = -2.5n Simplifying m = -2.5nSubproblem 2
Set the factor '(2m + 5n)' equal to zero and attempt to solve: Simplifying 2m + 5n = 0 Solving 2m + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 2m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 2m + 0 = 0 + -5n 2m = 0 + -5n Remove the zero: 2m = -5n Divide each side by '2'. m = -2.5n Simplifying m = -2.5nSolution
m = {-2.5n, -2.5n}
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