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Simplifying logx = 2logy + -1logz Solving glox = 2gloy + -1gloz Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2gloy' to each side of the equation. glox + -2gloy = 2gloy + -2gloy + -1gloz Combine like terms: 2gloy + -2gloy = 0 glox + -2gloy = 0 + -1gloz glox + -2gloy = -1gloz Add 'gloz' to each side of the equation. glox + -2gloy + gloz = -1gloz + gloz Combine like terms: -1gloz + gloz = 0 glox + -2gloy + gloz = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(x + -2y + z) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(x + -2y + z)' equal to zero and attempt to solve: Simplifying x + -2y + z = 0 Solving x + -2y + z = 0 Move all terms containing g to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -2y + -1x + z = 0 + -1x Reorder the terms: x + -1x + -2y + z = 0 + -1x Combine like terms: x + -1x = 0 0 + -2y + z = 0 + -1x -2y + z = 0 + -1x Remove the zero: -2y + z = -1x Add '2y' to each side of the equation. -2y + 2y + z = -1x + 2y Combine like terms: -2y + 2y = 0 0 + z = -1x + 2y z = -1x + 2y Add '-1z' to each side of the equation. z + -1z = -1x + 2y + -1z Combine like terms: z + -1z = 0 0 = -1x + 2y + -1z Simplifying 0 = -1x + 2y + -1z 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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