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Simplifying 4mn * 5mn = 20mn Reorder the terms for easier multiplication: 4 * 5mn * mn = 20mn Multiply 4 * 5 20mn * mn = 20mn Multiply mn * mn 20m2n2 = 20mn Solving 20m2n2 = 20mn Solving for variable 'm'. Reorder the terms: -20mn + 20m2n2 = 20mn + -20mn Combine like terms: 20mn + -20mn = 0 -20mn + 20m2n2 = 0 Factor out the Greatest Common Factor (GCF), '20mn'. 20mn(-1 + mn) = 0 Ignore the factor 20.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 + mn)' equal to zero and attempt to solve: Simplifying -1 + mn = 0 Solving -1 + mn = 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 + mn = 0 + 1 Combine like terms: -1 + 1 = 0 0 + mn = 0 + 1 mn = 0 + 1 Combine like terms: 0 + 1 = 1 mn = 1 Divide each side by 'n'. m = n-1 Simplifying m = n-1Solution
m = {n-1}
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