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Simplifying (2m + -6)(4n + 3) = 0 Reorder the terms: (-6 + 2m)(4n + 3) = 0 Reorder the terms: (-6 + 2m)(3 + 4n) = 0 Multiply (-6 + 2m) * (3 + 4n) (-6(3 + 4n) + 2m * (3 + 4n)) = 0 ((3 * -6 + 4n * -6) + 2m * (3 + 4n)) = 0 ((-18 + -24n) + 2m * (3 + 4n)) = 0 (-18 + -24n + (3 * 2m + 4n * 2m)) = 0 (-18 + -24n + (6m + 8mn)) = 0 Reorder the terms: (-18 + 6m + 8mn + -24n) = 0 (-18 + 6m + 8mn + -24n) = 0 Solving -18 + 6m + 8mn + -24n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 6m + 8mn + 18 + -24n = 0 + 18 Reorder the terms: -18 + 18 + 6m + 8mn + -24n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 6m + 8mn + -24n = 0 + 18 6m + 8mn + -24n = 0 + 18 Combine like terms: 0 + 18 = 18 6m + 8mn + -24n = 18 Add '24n' to each side of the equation. 6m + 8mn + -24n + 24n = 18 + 24n Combine like terms: -24n + 24n = 0 6m + 8mn + 0 = 18 + 24n 6m + 8mn = 18 + 24n Reorder the terms: -18 + 6m + 8mn + -24n = 18 + 24n + -18 + -24n Reorder the terms: -18 + 6m + 8mn + -24n = 18 + -18 + 24n + -24n Combine like terms: 18 + -18 = 0 -18 + 6m + 8mn + -24n = 0 + 24n + -24n -18 + 6m + 8mn + -24n = 24n + -24n Combine like terms: 24n + -24n = 0 -18 + 6m + 8mn + -24n = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 3m + 4mn + -12n) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 3m + 4mn + -12n)' equal to zero and attempt to solve: Simplifying -9 + 3m + 4mn + -12n = 0 Solving -9 + 3m + 4mn + -12n = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 3m + 4mn + 9 + -12n = 0 + 9 Reorder the terms: -9 + 9 + 3m + 4mn + -12n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3m + 4mn + -12n = 0 + 9 3m + 4mn + -12n = 0 + 9 Combine like terms: 0 + 9 = 9 3m + 4mn + -12n = 9 Add '12n' to each side of the equation. 3m + 4mn + -12n + 12n = 9 + 12n Combine like terms: -12n + 12n = 0 3m + 4mn + 0 = 9 + 12n 3m + 4mn = 9 + 12n 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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