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Simplifying logy = 7log * 8 + -5logx Reorder the terms for easier multiplication: gloy = 7 * 8glo + -5logx Multiply 7 * 8 gloy = 56glo + -5logx Solving gloy = 56glo + -5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-56glo' to each side of the equation. -56glo + gloy = 56glo + -56glo + -5glox Combine like terms: 56glo + -56glo = 0 -56glo + gloy = 0 + -5glox -56glo + gloy = -5glox Add '5glox' to each side of the equation. -56glo + 5glox + gloy = -5glox + 5glox Combine like terms: -5glox + 5glox = 0 -56glo + 5glox + gloy = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-56 + 5x + y) = 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 '(-56 + 5x + y)' equal to zero and attempt to solve: Simplifying -56 + 5x + y = 0 Solving -56 + 5x + y = 0 Move all terms containing g to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 5x + 56 + y = 0 + 56 Reorder the terms: -56 + 56 + 5x + y = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 5x + y = 0 + 56 5x + y = 0 + 56 Combine like terms: 0 + 56 = 56 5x + y = 56 Add '-5x' to each side of the equation. 5x + -5x + y = 56 + -5x Combine like terms: 5x + -5x = 0 0 + y = 56 + -5x y = 56 + -5x Add '-1y' to each side of the equation. y + -1y = 56 + -5x + -1y Combine like terms: y + -1y = 0 0 = 56 + -5x + -1y Simplifying 0 = 56 + -5x + -1y 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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