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Simplifying log(3x) + 4log(5y) + -3log(4z) = 0 Remove parenthesis around (3x) glo * 3x + 4log(5y) + -3log(4z) = 0 Reorder the terms for easier multiplication: 3glo * x + 4log(5y) + -3log(4z) = 0 Multiply glo * x 3glox + 4log(5y) + -3log(4z) = 0 Remove parenthesis around (5y) 3glox + 4glo * 5y + -3log(4z) = 0 Reorder the terms for easier multiplication: 3glox + 4 * 5glo * y + -3log(4z) = 0 Multiply 4 * 5 3glox + 20glo * y + -3log(4z) = 0 Multiply glo * y 3glox + 20gloy + -3log(4z) = 0 Remove parenthesis around (4z) 3glox + 20gloy + -3glo * 4z = 0 Reorder the terms for easier multiplication: 3glox + 20gloy + -3 * 4glo * z = 0 Multiply -3 * 4 3glox + 20gloy + -12glo * z = 0 Multiply glo * z 3glox + 20gloy + -12gloz = 0 Solving 3glox + 20gloy + -12gloz = 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(3x + 20y + -12z) = 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 '(3x + 20y + -12z)' equal to zero and attempt to solve: Simplifying 3x + 20y + -12z = 0 Solving 3x + 20y + -12z = 0 Move all terms containing g to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + 20y + -3x + -12z = 0 + -3x Reorder the terms: 3x + -3x + 20y + -12z = 0 + -3x Combine like terms: 3x + -3x = 0 0 + 20y + -12z = 0 + -3x 20y + -12z = 0 + -3x Remove the zero: 20y + -12z = -3x Add '-20y' to each side of the equation. 20y + -20y + -12z = -3x + -20y Combine like terms: 20y + -20y = 0 0 + -12z = -3x + -20y -12z = -3x + -20y Add '12z' to each side of the equation. -12z + 12z = -3x + -20y + 12z Combine like terms: -12z + 12z = 0 0 = -3x + -20y + 12z Simplifying 0 = -3x + -20y + 12z 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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