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Simplifying 2m2 + -7mn + -4n2 = 0 Reorder the terms: -7mn + 2m2 + -4n2 = 0 Solving -7mn + 2m2 + -4n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -4n)(2m + n) = 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 '(2m + n)' equal to zero and attempt to solve: Simplifying 2m + n = 0 Solving 2m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 2m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 2m + 0 = 0 + -1n 2m = 0 + -1n Remove the zero: 2m = -1n Divide each side by '2'. m = -0.5n Simplifying m = -0.5nSolution
m = {4n, -0.5n}
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