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Simplifying lg(x + -1) + 1 = lg(x2 + -1) Reorder the terms: gl(-1 + x) + 1 = lg(x2 + -1) (-1 * gl + x * gl) + 1 = lg(x2 + -1) (-1gl + glx) + 1 = lg(x2 + -1) Reorder the terms: 1 + -1gl + glx = lg(x2 + -1) Reorder the terms: 1 + -1gl + glx = gl(-1 + x2) 1 + -1gl + glx = (-1 * gl + x2 * gl) 1 + -1gl + glx = (-1gl + glx2) Add 'gl' to each side of the equation. 1 + -1gl + gl + glx = -1gl + gl + glx2 Combine like terms: -1gl + gl = 0 1 + 0 + glx = -1gl + gl + glx2 1 + glx = -1gl + gl + glx2 Combine like terms: -1gl + gl = 0 1 + glx = 0 + glx2 1 + glx = glx2 Solving 1 + glx = glx2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glx2' to each side of the equation. 1 + glx + -1glx2 = glx2 + -1glx2 Combine like terms: glx2 + -1glx2 = 0 1 + glx + -1glx2 = 0 Add '-1' to each side of the equation. 1 + glx + -1 + -1glx2 = 0 + -1 Reorder the terms: 1 + -1 + glx + -1glx2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + glx + -1glx2 = 0 + -1 glx + -1glx2 = 0 + -1 Combine like terms: 0 + -1 = -1 glx + -1glx2 = -1 Reorder the terms: 1 + glx + -1glx2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + glx + -1glx2 = 0 The solution to this equation could not be determined.
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