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Simplifying xlogM + 2logM + -3xLogN + 4LogN = 0 Reorder the terms: 2gloM + gloxM + 4goLN + -3goxLN = 0 Solving 2gloM + gloxM + 4goLN + -3goxLN = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'go'. go(2lM + lxM + 4LN + -3xLN) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(2lM + lxM + 4LN + -3xLN)' equal to zero and attempt to solve: Simplifying 2lM + lxM + 4LN + -3xLN = 0 Reorder the terms: 4LN + 2lM + lxM + -3xLN = 0 Solving 4LN + 2lM + lxM + -3xLN = 0 Move all terms containing g to the left, all other terms to the right. Add '-4LN' to each side of the equation. 4LN + 2lM + lxM + -4LN + -3xLN = 0 + -4LN Reorder the terms: 4LN + -4LN + 2lM + lxM + -3xLN = 0 + -4LN Combine like terms: 4LN + -4LN = 0 0 + 2lM + lxM + -3xLN = 0 + -4LN 2lM + lxM + -3xLN = 0 + -4LN Remove the zero: 2lM + lxM + -3xLN = -4LN Add '-2lM' to each side of the equation. 2lM + lxM + -2lM + -3xLN = -4LN + -2lM Reorder the terms: 2lM + -2lM + lxM + -3xLN = -4LN + -2lM Combine like terms: 2lM + -2lM = 0 0 + lxM + -3xLN = -4LN + -2lM lxM + -3xLN = -4LN + -2lM Add '-1lxM' to each side of the equation. lxM + -1lxM + -3xLN = -4LN + -2lM + -1lxM Combine like terms: lxM + -1lxM = 0 0 + -3xLN = -4LN + -2lM + -1lxM -3xLN = -4LN + -2lM + -1lxM Add '3xLN' to each side of the equation. -3xLN + 3xLN = -4LN + -2lM + -1lxM + 3xLN Combine like terms: -3xLN + 3xLN = 0 0 = -4LN + -2lM + -1lxM + 3xLN Simplifying 0 = -4LN + -2lM + -1lxM + 3xLN 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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