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Simplifying Log(x + -1) + log(2x + -1) = 0 Reorder the terms: goL(-1 + x) + log(2x + -1) = 0 (-1 * goL + x * goL) + log(2x + -1) = 0 (-1goL + goxL) + log(2x + -1) = 0 Reorder the terms: -1goL + goxL + glo(-1 + 2x) = 0 -1goL + goxL + (-1 * glo + 2x * glo) = 0 -1goL + goxL + (-1glo + 2glox) = 0 Reorder the terms: -1glo + 2glox + -1goL + goxL = 0 Solving -1glo + 2glox + -1goL + goxL = 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), 'go'. go(-1l + 2lx + -1L + xL) = 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 '(-1l + 2lx + -1L + xL)' equal to zero and attempt to solve: Simplifying -1l + 2lx + -1L + xL = 0 Reorder the terms: -1L + -1l + 2lx + xL = 0 Solving -1L + -1l + 2lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add 'L' to each side of the equation. -1L + -1l + 2lx + L + xL = 0 + L Reorder the terms: -1L + L + -1l + 2lx + xL = 0 + L Combine like terms: -1L + L = 0 0 + -1l + 2lx + xL = 0 + L -1l + 2lx + xL = 0 + L Remove the zero: -1l + 2lx + xL = L Add 'l' to each side of the equation. -1l + 2lx + l + xL = L + l Reorder the terms: -1l + l + 2lx + xL = L + l Combine like terms: -1l + l = 0 0 + 2lx + xL = L + l 2lx + xL = L + l Add '-2lx' to each side of the equation. 2lx + -2lx + xL = L + l + -2lx Combine like terms: 2lx + -2lx = 0 0 + xL = L + l + -2lx xL = L + l + -2lx Add '-1xL' to each side of the equation. xL + -1xL = L + l + -2lx + -1xL Combine like terms: xL + -1xL = 0 0 = L + l + -2lx + -1xL Simplifying 0 = L + l + -2lx + -1xL 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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