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Simplifying 2logx = log(8x + -12) Reorder the terms: 2glox = glo(-12 + 8x) 2glox = (-12 * glo + 8x * glo) 2glox = (-12glo + 8glox) Solving 2glox = -12glo + 8glox 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. 12glo + 2glox = -12glo + 12glo + 8glox Combine like terms: -12glo + 12glo = 0 12glo + 2glox = 0 + 8glox 12glo + 2glox = 8glox Add '-8glox' to each side of the equation. 12glo + 2glox + -8glox = 8glox + -8glox Combine like terms: 2glox + -8glox = -6glox 12glo + -6glox = 8glox + -8glox Combine like terms: 8glox + -8glox = 0 12glo + -6glox = 0 Factor out the Greatest Common Factor (GCF), '6glo'. 6glo(2 + -1x) = 0 Ignore the factor 6.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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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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