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Simplifying 45gm + 27mn + -36gn = 0 Reorder the terms: 45gm + -36gn + 27mn = 0 Solving 45gm + -36gn + 27mn = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-27mn' to each side of the equation. 45gm + -36gn + 27mn + -27mn = 0 + -27mn Combine like terms: 27mn + -27mn = 0 45gm + -36gn + 0 = 0 + -27mn 45gm + -36gn = 0 + -27mn Remove the zero: 45gm + -36gn = -27mn Combine like terms: -27mn + 27mn = 0 45gm + -36gn + 27mn = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(5gm + -4gn + 3mn) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(5gm + -4gn + 3mn)' equal to zero and attempt to solve: Simplifying 5gm + -4gn + 3mn = 0 Solving 5gm + -4gn + 3mn = 0 Move all terms containing g to the left, all other terms to the right. Add '-3mn' to each side of the equation. 5gm + -4gn + 3mn + -3mn = 0 + -3mn Combine like terms: 3mn + -3mn = 0 5gm + -4gn + 0 = 0 + -3mn 5gm + -4gn = 0 + -3mn Remove the zero: 5gm + -4gn = -3mn 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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