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Simplifying lg(x + -1) * lgx = lgx Reorder the terms: gl(-1 + x) * lgx = lgx Reorder the terms for easier multiplication: gl * glx(-1 + x) = lgx Multiply gl * glx g2l2x(-1 + x) = lgx (-1 * g2l2x + x * g2l2x) = lgx (-1g2l2x + g2l2x2) = lgx Solving -1g2l2x + g2l2x2 = glx Solving for variable 'g'. Reorder the terms: -1glx + -1g2l2x + g2l2x2 = glx + -1glx Combine like terms: glx + -1glx = 0 -1glx + -1g2l2x + g2l2x2 = 0 Factor out the Greatest Common Factor (GCF), 'glx'. glx(-1 + -1gl + glx) = 0Subproblem 1
Set the factor 'glx' equal to zero and attempt to solve: Simplifying glx = 0 Solving glx = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glx = 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 + -1gl + glx)' equal to zero and attempt to solve: Simplifying -1 + -1gl + glx = 0 Solving -1 + -1gl + glx = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1gl + 1 + glx = 0 + 1 Reorder the terms: -1 + 1 + -1gl + glx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1gl + glx = 0 + 1 -1gl + glx = 0 + 1 Combine like terms: 0 + 1 = 1 -1gl + glx = 1 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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