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Simplifying 6log * 8x + 7log * 8z = 0 Reorder the terms for easier multiplication: 6 * 8glo * x + 7log * 8z = 0 Multiply 6 * 8 48glo * x + 7log * 8z = 0 Multiply glo * x 48glox + 7log * 8z = 0 Reorder the terms for easier multiplication: 48glox + 7 * 8glo * z = 0 Multiply 7 * 8 48glox + 56glo * z = 0 Multiply glo * z 48glox + 56gloz = 0 Solving 48glox + 56gloz = 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), '8glo'. 8glo(6x + 7z) = 0 Ignore the factor 8.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 '(6x + 7z)' equal to zero and attempt to solve: Simplifying 6x + 7z = 0 Solving 6x + 7z = 0 Move all terms containing g to the left, all other terms to the right. Add '-6x' to each side of the equation. 6x + -6x + 7z = 0 + -6x Combine like terms: 6x + -6x = 0 0 + 7z = 0 + -6x 7z = 0 + -6x Remove the zero: 7z = -6x Add '-7z' to each side of the equation. 7z + -7z = -6x + -7z Combine like terms: 7z + -7z = 0 0 = -6x + -7z Simplifying 0 = -6x + -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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