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Simplifying (-2m3n4) = -8m9n12 Solving (-2m3n4) = -8m9n12 Solving for variable 'm'. Combine like terms: -8m9n12 + 8m9n12 = 0 (-2m3n4) + 8m9n12 = 0 Factor out the Greatest Common Factor (GCF), '2m3n4'. 2m3n4(-1 + 4m6n8) = 0 Factor a difference between two squares. 2m3n4((1 + 2m3n4)(-1 + 2m3n4)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'm3n4' equal to zero and attempt to solve: Simplifying m3n4 = 0 Solving m3n4 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3n4 = 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 + 2m3n4)' equal to zero and attempt to solve: Simplifying 1 + 2m3n4 = 0 Solving 1 + 2m3n4 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2m3n4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m3n4 = 0 + -1 2m3n4 = 0 + -1 Combine like terms: 0 + -1 = -1 2m3n4 = -1 Divide each side by '2n4'. m3 = -0.5n-4 Simplifying m3 = -0.5n-4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + 2m3n4)' equal to zero and attempt to solve: Simplifying -1 + 2m3n4 = 0 Solving -1 + 2m3n4 = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2m3n4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2m3n4 = 0 + 1 2m3n4 = 0 + 1 Combine like terms: 0 + 1 = 1 2m3n4 = 1 Divide each side by '2n4'. m3 = 0.5n-4 Simplifying m3 = 0.5n-4 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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