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Simplifying 25m2 + -10mn + n2 = 0 Reorder the terms: -10mn + 25m2 + n2 = 0 Solving -10mn + 25m2 + n2 = 0 Solving for variable 'm'. Factor a trinomial. (5m + -1n)(5m + -1n) = 0Subproblem 1
Set the factor '(5m + -1n)' equal to zero and attempt to solve: Simplifying 5m + -1n = 0 Solving 5m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 5m + -1n + n = 0 + n Combine like terms: -1n + n = 0 5m + 0 = 0 + n 5m = 0 + n Remove the zero: 5m = n Divide each side by '5'. m = 0.2n Simplifying m = 0.2nSubproblem 2
Set the factor '(5m + -1n)' equal to zero and attempt to solve: Simplifying 5m + -1n = 0 Solving 5m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 5m + -1n + n = 0 + n Combine like terms: -1n + n = 0 5m + 0 = 0 + n 5m = 0 + n Remove the zero: 5m = n Divide each side by '5'. m = 0.2n Simplifying m = 0.2nSolution
m = {0.2n, 0.2n}
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