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Simplifying og(x) + log(x + 5) = log(6x + 12) Multiply go * x gox + log(x + 5) = log(6x + 12) Reorder the terms: gox + glo(5 + x) = log(6x + 12) gox + (5 * glo + x * glo) = log(6x + 12) gox + (5glo + glox) = log(6x + 12) Reorder the terms: 5glo + glox + gox = log(6x + 12) Reorder the terms: 5glo + glox + gox = glo(12 + 6x) 5glo + glox + gox = (12 * glo + 6x * glo) 5glo + glox + gox = (12glo + 6glox) Solving 5glo + glox + gox = 12glo + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glo' to each side of the equation. 5glo + glox + -12glo + gox = 12glo + -12glo + 6glox Reorder the terms: 5glo + -12glo + glox + gox = 12glo + -12glo + 6glox Combine like terms: 5glo + -12glo = -7glo -7glo + glox + gox = 12glo + -12glo + 6glox Combine like terms: 12glo + -12glo = 0 -7glo + glox + gox = 0 + 6glox -7glo + glox + gox = 6glox Add '-6glox' to each side of the equation. -7glo + glox + -6glox + gox = 6glox + -6glox Combine like terms: glox + -6glox = -5glox -7glo + -5glox + gox = 6glox + -6glox Combine like terms: 6glox + -6glox = 0 -7glo + -5glox + gox = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-7l + -5lx + x) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-7l + -5lx + x)' equal to zero and attempt to solve: Simplifying -7l + -5lx + x = 0 Solving -7l + -5lx + x = 0 Move all terms containing g to the left, all other terms to the right. Add '7l' to each side of the equation. -7l + -5lx + 7l + x = 0 + 7l Reorder the terms: -7l + 7l + -5lx + x = 0 + 7l Combine like terms: -7l + 7l = 0 0 + -5lx + x = 0 + 7l -5lx + x = 0 + 7l Remove the zero: -5lx + x = 7l Add '5lx' to each side of the equation. -5lx + 5lx + x = 7l + 5lx Combine like terms: -5lx + 5lx = 0 0 + x = 7l + 5lx x = 7l + 5lx Add '-1x' to each side of the equation. x + -1x = 7l + 5lx + -1x Combine like terms: x + -1x = 0 0 = 7l + 5lx + -1x Simplifying 0 = 7l + 5lx + -1x 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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