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Simplifying 0 = log(x) + -1log(1 + -1x) + 3.9(1 + -2x) Multiply glo * x 0 = glox + -1log(1 + -1x) + 3.9(1 + -2x) 0 = glox + (1 * -1glo + -1x * -1glo) + 3.9(1 + -2x) 0 = glox + (-1glo + 1glox) + 3.9(1 + -2x) 0 = glox + -1glo + 1glox + (1 * 3.9 + -2x * 3.9) 0 = glox + -1glo + 1glox + (3.9 + -7.8x) Reorder the terms: 0 = 3.9 + -1glo + glox + 1glox + -7.8x Combine like terms: glox + 1glox = 2glox 0 = 3.9 + -1glo + 2glox + -7.8x Solving 0 = 3.9 + -1glo + 2glox + -7.8x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glo' to each side of the equation. 0 + glo = 3.9 + -1glo + 2glox + glo + -7.8x Remove the zero: glo = 3.9 + -1glo + 2glox + glo + -7.8x Reorder the terms: glo = 3.9 + -1glo + glo + 2glox + -7.8x Combine like terms: -1glo + glo = 0 glo = 3.9 + 0 + 2glox + -7.8x glo = 3.9 + 2glox + -7.8x Add '-2glox' to each side of the equation. glo + -2glox = 3.9 + 2glox + -2glox + -7.8x Combine like terms: 2glox + -2glox = 0 glo + -2glox = 3.9 + 0 + -7.8x glo + -2glox = 3.9 + -7.8x Reorder the terms: -3.9 + glo + -2glox + 7.8x = 3.9 + -7.8x + -3.9 + 7.8x Reorder the terms: -3.9 + glo + -2glox + 7.8x = 3.9 + -3.9 + -7.8x + 7.8x Combine like terms: 3.9 + -3.9 = 0.0 -3.9 + glo + -2glox + 7.8x = 0.0 + -7.8x + 7.8x -3.9 + glo + -2glox + 7.8x = -7.8x + 7.8x Combine like terms: -7.8x + 7.8x = 0.0 -3.9 + glo + -2glox + 7.8x = 0.0 The solution to this equation could not be determined.
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