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