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Simplifying log(x) + log(x2 + -4) + -1log(6) + -1log(x + 2) = 0 Multiply glo * x glox + log(x2 + -4) + -1log(6) + -1log(x + 2) = 0 Reorder the terms: glox + glo(-4 + x2) + -1log(6) + -1log(x + 2) = 0 glox + (-4 * glo + x2 * glo) + -1log(6) + -1log(x + 2) = 0 glox + (-4glo + glox2) + -1log(6) + -1log(x + 2) = 0 Reorder the terms for easier multiplication: glox + -4glo + glox2 + -1 * 6glo + -1log(x + 2) = 0 Multiply -1 * 6 glox + -4glo + glox2 + -6glo + -1log(x + 2) = 0 Reorder the terms: glox + -4glo + glox2 + -6glo + -1glo(2 + x) = 0 glox + -4glo + glox2 + -6glo + (2 * -1glo + x * -1glo) = 0 glox + -4glo + glox2 + -6glo + (-2glo + -1glox) = 0 Reorder the terms: -4glo + -6glo + -2glo + glox + -1glox + glox2 = 0 Combine like terms: -4glo + -6glo = -10glo -10glo + -2glo + glox + -1glox + glox2 = 0 Combine like terms: -10glo + -2glo = -12glo -12glo + glox + -1glox + glox2 = 0 Combine like terms: glox + -1glox = 0 -12glo + 0 + glox2 = 0 -12glo + glox2 = 0 Solving -12glo + glox2 = 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), 'glo'. glo(-12 + x2) = 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 '(-12 + x2)' equal to zero and attempt to solve: Simplifying -12 + x2 = 0 Solving -12 + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x2 = 0 + 12 x2 = 0 + 12 Combine like terms: 0 + 12 = 12 x2 = 12 Add '-1x2' to each side of the equation. x2 + -1x2 = 12 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 12 + -1x2 Simplifying 0 = 12 + -1x2 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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