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Simplifying -4mn2 + 3mn + -1n2 = 0 Reorder the terms: 3mn + -4mn2 + -1n2 = 0 Solving 3mn + -4mn2 + -1n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n2' to each side of the equation. 3mn + -4mn2 + -1n2 + n2 = 0 + n2 Combine like terms: -1n2 + n2 = 0 3mn + -4mn2 + 0 = 0 + n2 3mn + -4mn2 = 0 + n2 Remove the zero: 3mn + -4mn2 = n2 Combine like terms: n2 + -1n2 = 0 3mn + -4mn2 + -1n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(3m + -4mn + -1n) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3m + -4mn + -1n)' equal to zero and attempt to solve: Simplifying 3m + -4mn + -1n = 0 Solving 3m + -4mn + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 3m + -4mn + -1n + n = 0 + n Combine like terms: -1n + n = 0 3m + -4mn + 0 = 0 + n 3m + -4mn = 0 + n Remove the zero: 3m + -4mn = n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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