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Simplifying 16m2 + 40mn + 25n2 = 0 Reorder the terms: 40mn + 16m2 + 25n2 = 0 Solving 40mn + 16m2 + 25n2 = 0 Solving for variable 'm'. Factor a trinomial. (4m + 5n)(4m + 5n) = 0Subproblem 1
Set the factor '(4m + 5n)' equal to zero and attempt to solve: Simplifying 4m + 5n = 0 Solving 4m + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 4m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 4m + 0 = 0 + -5n 4m = 0 + -5n Remove the zero: 4m = -5n Divide each side by '4'. m = -1.25n Simplifying m = -1.25nSubproblem 2
Set the factor '(4m + 5n)' equal to zero and attempt to solve: Simplifying 4m + 5n = 0 Solving 4m + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 4m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 4m + 0 = 0 + -5n 4m = 0 + -5n Remove the zero: 4m = -5n Divide each side by '4'. m = -1.25n Simplifying m = -1.25nSolution
m = {-1.25n, -1.25n}
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