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Simplifying 64m2 + -16mn + n2 = 0 Reorder the terms: -16mn + 64m2 + n2 = 0 Solving -16mn + 64m2 + n2 = 0 Solving for variable 'm'. Factor a trinomial. (8m + -1n)(8m + -1n) = 0Subproblem 1
Set the factor '(8m + -1n)' equal to zero and attempt to solve: Simplifying 8m + -1n = 0 Solving 8m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 8m + -1n + n = 0 + n Combine like terms: -1n + n = 0 8m + 0 = 0 + n 8m = 0 + n Remove the zero: 8m = n Divide each side by '8'. m = 0.125n Simplifying m = 0.125nSubproblem 2
Set the factor '(8m + -1n)' equal to zero and attempt to solve: Simplifying 8m + -1n = 0 Solving 8m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 8m + -1n + n = 0 + n Combine like terms: -1n + n = 0 8m + 0 = 0 + n 8m = 0 + n Remove the zero: 8m = n Divide each side by '8'. m = 0.125n Simplifying m = 0.125nSolution
m = {0.125n, 0.125n}
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