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