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Simplifying 2log(x + 2) = 2 + -2x Reorder the terms: 2glo(2 + x) = 2 + -2x (2 * 2glo + x * 2glo) = 2 + -2x (4glo + 2glox) = 2 + -2x Solving 4glo + 2glox = 2 + -2x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 4glo + 2glox + 2x = 2 + -2x + -2 + 2x Reorder the terms: -2 + 4glo + 2glox + 2x = 2 + -2 + -2x + 2x Combine like terms: 2 + -2 = 0 -2 + 4glo + 2glox + 2x = 0 + -2x + 2x -2 + 4glo + 2glox + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 4glo + 2glox + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 2glo + glox + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 2glo + glox + x)' equal to zero and attempt to solve: Simplifying -1 + 2glo + glox + x = 0 Solving -1 + 2glo + glox + x = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2glo + glox + 1 + x = 0 + 1 Reorder the terms: -1 + 1 + 2glo + glox + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2glo + glox + x = 0 + 1 2glo + glox + x = 0 + 1 Combine like terms: 0 + 1 = 1 2glo + glox + x = 1 Add '-1x' to each side of the equation. 2glo + glox + x + -1x = 1 + -1x Combine like terms: x + -1x = 0 2glo + glox + 0 = 1 + -1x 2glo + glox = 1 + -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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