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Simplifying 16m2 + -8mn + n2 = 0 Reorder the terms: -8mn + 16m2 + n2 = 0 Solving -8mn + 16m2 + n2 = 0 Solving for variable 'm'. Factor a trinomial. (4m + -1n)(4m + -1n) = 0Subproblem 1
Set the factor '(4m + -1n)' equal to zero and attempt to solve: Simplifying 4m + -1n = 0 Solving 4m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 4m + -1n + n = 0 + n Combine like terms: -1n + n = 0 4m + 0 = 0 + n 4m = 0 + n Remove the zero: 4m = n Divide each side by '4'. m = 0.25n Simplifying m = 0.25nSubproblem 2
Set the factor '(4m + -1n)' equal to zero and attempt to solve: Simplifying 4m + -1n = 0 Solving 4m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 4m + -1n + n = 0 + n Combine like terms: -1n + n = 0 4m + 0 = 0 + n 4m = 0 + n Remove the zero: 4m = n Divide each side by '4'. m = 0.25n Simplifying m = 0.25nSolution
m = {0.25n, 0.25n}
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