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