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Simplifying 2logx + -1(4logy + 5logz) = 0 2glox + (4gloy * -1 + 5gloz * -1) = 0 2glox + (-4gloy + -5gloz) = 0 Solving 2glox + -4gloy + -5gloz = 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), 'glo'. glo(2x + -4y + -5z) = 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 '(2x + -4y + -5z)' equal to zero and attempt to solve: Simplifying 2x + -4y + -5z = 0 Solving 2x + -4y + -5z = 0 Move all terms containing g to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -4y + -2x + -5z = 0 + -2x Reorder the terms: 2x + -2x + -4y + -5z = 0 + -2x Combine like terms: 2x + -2x = 0 0 + -4y + -5z = 0 + -2x -4y + -5z = 0 + -2x Remove the zero: -4y + -5z = -2x Add '4y' to each side of the equation. -4y + 4y + -5z = -2x + 4y Combine like terms: -4y + 4y = 0 0 + -5z = -2x + 4y -5z = -2x + 4y Add '5z' to each side of the equation. -5z + 5z = -2x + 4y + 5z Combine like terms: -5z + 5z = 0 0 = -2x + 4y + 5z Simplifying 0 = -2x + 4y + 5z 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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