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Simplifying 14mn + (6mn * 6mn) + -8mn + -7m * 7m * n + 5m * 5m * n = 0 Reorder the terms for easier multiplication: 14mn + (6 * 6mn * mn) + -8mn + -7m * 7m * n + 5m * 5m * n = 0 Multiply 6 * 6 14mn + (36mn * mn) + -8mn + -7m * 7m * n + 5m * 5m * n = 0 Multiply mn * mn 14mn + (36m2n2) + -8mn + -7m * 7m * n + 5m * 5m * n = 0 Reorder the terms for easier multiplication: 14mn + (36m2n2) + -8mn + -7 * 7m * m * n + 5m * 5m * n = 0 Multiply -7 * 7 14mn + (36m2n2) + -8mn + -49m * m * n + 5m * 5m * n = 0 Multiply m * m 14mn + (36m2n2) + -8mn + -49m2 * n + 5m * 5m * n = 0 Multiply m2 * n 14mn + (36m2n2) + -8mn + -49m2n + 5m * 5m * n = 0 Reorder the terms for easier multiplication: 14mn + (36m2n2) + -8mn + -49m2n + 5 * 5m * m * n = 0 Multiply 5 * 5 14mn + (36m2n2) + -8mn + -49m2n + 25m * m * n = 0 Multiply m * m 14mn + (36m2n2) + -8mn + -49m2n + 25m2 * n = 0 Multiply m2 * n 14mn + (36m2n2) + -8mn + -49m2n + 25m2n = 0 Reorder the terms: 14mn + -8mn + -49m2n + 25m2n + (36m2n2) = 0 Combine like terms: 14mn + -8mn = 6mn 6mn + -49m2n + 25m2n + (36m2n2) = 0 Combine like terms: -49m2n + 25m2n = -24m2n 6mn + -24m2n + (36m2n2) = 0 Solving 6mn + -24m2n + (36m2n2) = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6mn'. 6mn(1 + -4m + (6mn)) = 0 Ignore the factor 6.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 + -4m + (6mn))' equal to zero and attempt to solve: Simplifying 1 + -4m + (6mn) = 0 Solving 1 + -4m + (6mn) = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4m + -1 + (6mn) = 0 + -1 Reorder the terms: 1 + -1 + -4m + (6mn) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4m + (6mn) = 0 + -1 -4m + (6mn) = 0 + -1 Combine like terms: 0 + -1 = -1 -4m + (6mn) = -1 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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