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Simplifying logx + 2(2x2 + x) = 1 Reorder the terms: glox + 2(x + 2x2) = 1 glox + (x * 2 + 2x2 * 2) = 1 glox + (2x + 4x2) = 1 Solving glox + 2x + 4x2 = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2x' to each side of the equation. glox + 2x + -2x + 4x2 = 1 + -2x Combine like terms: 2x + -2x = 0 glox + 0 + 4x2 = 1 + -2x glox + 4x2 = 1 + -2x Add '-4x2' to each side of the equation. glox + 4x2 + -4x2 = 1 + -2x + -4x2 Combine like terms: 4x2 + -4x2 = 0 glox + 0 = 1 + -2x + -4x2 glox = 1 + -2x + -4x2 Divide each side by 'lox'. g = l-1o-1x-1 + -2l-1o-1 + -4l-1o-1x Simplifying g = l-1o-1x-1 + -2l-1o-1 + -4l-1o-1x Reorder the terms: g = -2l-1o-1 + l-1o-1x-1 + -4l-1o-1x
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