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Simplifying 6m5n3 + -42m4n2 = 0 Reorder the terms: -42m4n2 + 6m5n3 = 0 Solving -42m4n2 + 6m5n3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6m4n2'. 6m4n2(-7 + mn) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'm4n2' equal to zero and attempt to solve: Simplifying m4n2 = 0 Solving m4n2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m4n2 = 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 '(-7 + mn)' equal to zero and attempt to solve: Simplifying -7 + mn = 0 Solving -7 + mn = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + mn = 0 + 7 Combine like terms: -7 + 7 = 0 0 + mn = 0 + 7 mn = 0 + 7 Combine like terms: 0 + 7 = 7 mn = 7 Divide each side by 'n'. m = 7n-1 Simplifying m = 7n-1Solution
m = {7n-1}
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