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Simplifying g(x + 1) = x2 + 5x + 1 Reorder the terms: g(1 + x) = x2 + 5x + 1 (1 * g + x * g) = x2 + 5x + 1 (1g + gx) = x2 + 5x + 1 Reorder the terms: 1g + gx = 1 + 5x + x2 Solving 1g + gx = 1 + 5x + x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + 1g + gx + -5x + -1x2 = 1 + 5x + x2 + -1 + -5x + -1x2 Reorder the terms: -1 + 1g + gx + -5x + -1x2 = 1 + -1 + 5x + -5x + x2 + -1x2 Combine like terms: 1 + -1 = 0 -1 + 1g + gx + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 -1 + 1g + gx + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 -1 + 1g + gx + -5x + -1x2 = 0 + x2 + -1x2 -1 + 1g + gx + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1 + 1g + gx + -5x + -1x2 = 0 The solution to this equation could not be determined.
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