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Simplifying 2n2 + -4m2 + 2mn = 0 Reorder the terms: 2mn + -4m2 + 2n2 = 0 Solving 2mn + -4m2 + 2n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(mn + -2m2 + n2) = 0 Factor a trinomial. 2((-2m + -1n)(m + -1n)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2m + -1n)' equal to zero and attempt to solve: Simplifying -2m + -1n = 0 Solving -2m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. -2m + -1n + n = 0 + n Combine like terms: -1n + n = 0 -2m + 0 = 0 + n -2m = 0 + n Remove the zero: -2m = n Divide each side by '-2'. m = -0.5n Simplifying m = -0.5nSubproblem 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 = {-0.5n, n}
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