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Simplifying 9log[4](x) + 7log[4](z) = 0 Reorder the terms for easier multiplication: 9 * 4glo * x + 7log[4](z) = 0 Multiply 9 * 4 36glo * x + 7log[4](z) = 0 Multiply glo * x 36glox + 7log[4](z) = 0 Reorder the terms for easier multiplication: 36glox + 7 * 4glo * z = 0 Multiply 7 * 4 36glox + 28glo * z = 0 Multiply glo * z 36glox + 28gloz = 0 Solving 36glox + 28gloz = 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), '4glo'. 4glo(9x + 7z) = 0 Ignore the factor 4.Subproblem 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 '(9x + 7z)' equal to zero and attempt to solve: Simplifying 9x + 7z = 0 Solving 9x + 7z = 0 Move all terms containing g to the left, all other terms to the right. Add '-9x' to each side of the equation. 9x + -9x + 7z = 0 + -9x Combine like terms: 9x + -9x = 0 0 + 7z = 0 + -9x 7z = 0 + -9x Remove the zero: 7z = -9x Add '-7z' to each side of the equation. 7z + -7z = -9x + -7z Combine like terms: 7z + -7z = 0 0 = -9x + -7z Simplifying 0 = -9x + -7z 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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