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