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Simplifying 0 = log(x + 4) Reorder the terms: 0 = glo(4 + x) 0 = (4 * glo + x * glo) 0 = (4glo + glox) Solving 0 = 4glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glo' to each side of the equation. 0 + -4glo = 4glo + -4glo + glox Remove the zero: -4glo = 4glo + -4glo + glox Combine like terms: 4glo + -4glo = 0 -4glo = 0 + glox -4glo = glox Add '-1glox' to each side of the equation. -4glo + -1glox = glox + -1glox Combine like terms: glox + -1glox = 0 -4glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), '-1glo'. -1glo(4 + x) = 0 Ignore the factor -1.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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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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