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