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Simplifying 3g(x + 2) = x2 + 4x + 1 Reorder the terms: 3g(2 + x) = x2 + 4x + 1 (2 * 3g + x * 3g) = x2 + 4x + 1 (6g + 3gx) = x2 + 4x + 1 Reorder the terms: 6g + 3gx = 1 + 4x + x2 Solving 6g + 3gx = 1 + 4x + x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + 6g + 3gx + -4x + -1x2 = 1 + 4x + x2 + -1 + -4x + -1x2 Reorder the terms: -1 + 6g + 3gx + -4x + -1x2 = 1 + -1 + 4x + -4x + x2 + -1x2 Combine like terms: 1 + -1 = 0 -1 + 6g + 3gx + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2 -1 + 6g + 3gx + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -1 + 6g + 3gx + -4x + -1x2 = 0 + x2 + -1x2 -1 + 6g + 3gx + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1 + 6g + 3gx + -4x + -1x2 = 0 The solution to this equation could not be determined.
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