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Simplifying 4mn2 + -4mn + n2 = 0 Reorder the terms: -4mn + 4mn2 + n2 = 0 Solving -4mn + 4mn2 + n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1n2' to each side of the equation. -4mn + 4mn2 + n2 + -1n2 = 0 + -1n2 Combine like terms: n2 + -1n2 = 0 -4mn + 4mn2 + 0 = 0 + -1n2 -4mn + 4mn2 = 0 + -1n2 Remove the zero: -4mn + 4mn2 = -1n2 Combine like terms: -1n2 + n2 = 0 -4mn + 4mn2 + n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-4m + 4mn + n) = 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 '(-4m + 4mn + n)' equal to zero and attempt to solve: Simplifying -4m + 4mn + n = 0 Solving -4m + 4mn + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. -4m + 4mn + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 -4m + 4mn + 0 = 0 + -1n -4m + 4mn = 0 + -1n Remove the zero: -4m + 4mn = -1n 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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