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Simplifying 4m2 + -1mn + -3n2 = 0 Reorder the terms: -1mn + 4m2 + -3n2 = 0 Solving -1mn + 4m2 + -3n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -1n)(4m + 3n) = 0Subproblem 1
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 = nSubproblem 2
Set the factor '(4m + 3n)' equal to zero and attempt to solve: Simplifying 4m + 3n = 0 Solving 4m + 3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-3n' to each side of the equation. 4m + 3n + -3n = 0 + -3n Combine like terms: 3n + -3n = 0 4m + 0 = 0 + -3n 4m = 0 + -3n Remove the zero: 4m = -3n Divide each side by '4'. m = -0.75n Simplifying m = -0.75nSolution
m = {n, -0.75n}
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