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Simplifying lg(13x2 + -12x + -15) = 1 + 2lgx Reorder the terms: gl(-15 + -12x + 13x2) = 1 + 2lgx (-15 * gl + -12x * gl + 13x2 * gl) = 1 + 2lgx (-15gl + -12glx + 13glx2) = 1 + 2lgx Solving -15gl + -12glx + 13glx2 = 1 + 2glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glx' to each side of the equation. -15gl + -12glx + -2glx + 13glx2 = 1 + 2glx + -2glx Combine like terms: -12glx + -2glx = -14glx -15gl + -14glx + 13glx2 = 1 + 2glx + -2glx Combine like terms: 2glx + -2glx = 0 -15gl + -14glx + 13glx2 = 1 + 0 -15gl + -14glx + 13glx2 = 1 Reorder the terms: -1 + -15gl + -14glx + 13glx2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -15gl + -14glx + 13glx2 = 0 The solution to this equation could not be determined.
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