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Simplifying log(x2 + 18) = log(-9x + 12) Reorder the terms: glo(18 + x2) = log(-9x + 12) (18 * glo + x2 * glo) = log(-9x + 12) (18glo + glox2) = log(-9x + 12) Reorder the terms: 18glo + glox2 = glo(12 + -9x) 18glo + glox2 = (12 * glo + -9x * glo) 18glo + glox2 = (12glo + -9glox) Solving 18glo + glox2 = 12glo + -9glox 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. 18glo + -12glo + glox2 = 12glo + -12glo + -9glox Combine like terms: 18glo + -12glo = 6glo 6glo + glox2 = 12glo + -12glo + -9glox Combine like terms: 12glo + -12glo = 0 6glo + glox2 = 0 + -9glox 6glo + glox2 = -9glox Add '9glox' to each side of the equation. 6glo + 9glox + glox2 = -9glox + 9glox Combine like terms: -9glox + 9glox = 0 6glo + 9glox + glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(6 + 9x + 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 '(6 + 9x + x2)' equal to zero and attempt to solve: Simplifying 6 + 9x + x2 = 0 Solving 6 + 9x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 9x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 9x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9x + x2 = 0 + -6 9x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 9x + x2 = -6 Add '-9x' to each side of the equation. 9x + -9x + x2 = -6 + -9x Combine like terms: 9x + -9x = 0 0 + x2 = -6 + -9x x2 = -6 + -9x Add '-1x2' to each side of the equation. x2 + -1x2 = -6 + -9x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -6 + -9x + -1x2 Simplifying 0 = -6 + -9x + -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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