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Simplifying 0 = 14mn2 + 2mn Reorder the terms: 0 = 2mn + 14mn2 Solving 0 = 2mn + 14mn2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2mn' to each side of the equation. 0 + -2mn = 2mn + -2mn + 14mn2 Remove the zero: -2mn = 2mn + -2mn + 14mn2 Combine like terms: 2mn + -2mn = 0 -2mn = 0 + 14mn2 -2mn = 14mn2 Add '-14mn2' to each side of the equation. -2mn + -14mn2 = 14mn2 + -14mn2 Combine like terms: 14mn2 + -14mn2 = 0 -2mn + -14mn2 = 0 Factor out the Greatest Common Factor (GCF), '-2mn'. -2mn(1 + 7n) = 0 Ignore the factor -2.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 + 7n)' equal to zero and attempt to solve: Simplifying 1 + 7n = 0 Solving 1 + 7n = 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 + 7n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = 0 + -1 7n = 0 + -1 Combine like terms: 0 + -1 = -1 7n = -1 Add '-7n' to each side of the equation. 7n + -7n = -1 + -7n Combine like terms: 7n + -7n = 0 0 = -1 + -7n Simplifying 0 = -1 + -7n 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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