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