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Simplifying (2mn)(2m + -3n + -4mn + 1) = 0 Remove parenthesis around (2mn) 2mn(2m + -3n + -4mn + 1) = 0 Reorder the terms: 2mn(1 + 2m + -4mn + -3n) = 0 (1 * 2mn + 2m * 2mn + -4mn * 2mn + -3n * 2mn) = 0 Reorder the terms: (2mn + -6mn2 + 4m2n + -8m2n2) = 0 (2mn + -6mn2 + 4m2n + -8m2n2) = 0 Solving 2mn + -6mn2 + 4m2n + -8m2n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2mn'. 2mn(1 + -3n + 2m + -4mn) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve: Simplifying mn = 0 Solving mn = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn = 0 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 '(1 + -3n + 2m + -4mn)' equal to zero and attempt to solve: Simplifying 1 + -3n + 2m + -4mn = 0 Reorder the terms: 1 + 2m + -4mn + -3n = 0 Solving 1 + 2m + -4mn + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2m + -4mn + -1 + -3n = 0 + -1 Reorder the terms: 1 + -1 + 2m + -4mn + -3n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m + -4mn + -3n = 0 + -1 2m + -4mn + -3n = 0 + -1 Combine like terms: 0 + -1 = -1 2m + -4mn + -3n = -1 Add '3n' to each side of the equation. 2m + -4mn + -3n + 3n = -1 + 3n Combine like terms: -3n + 3n = 0 2m + -4mn + 0 = -1 + 3n 2m + -4mn = -1 + 3n 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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