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Simplifying g(x) = (2x + 3)(4 + -1x) Multiply g * x gx = (2x + 3)(4 + -1x) Reorder the terms: gx = (3 + 2x)(4 + -1x) Multiply (3 + 2x) * (4 + -1x) gx = (3(4 + -1x) + 2x * (4 + -1x)) gx = ((4 * 3 + -1x * 3) + 2x * (4 + -1x)) gx = ((12 + -3x) + 2x * (4 + -1x)) gx = (12 + -3x + (4 * 2x + -1x * 2x)) gx = (12 + -3x + (8x + -2x2)) Combine like terms: -3x + 8x = 5x gx = (12 + 5x + -2x2) Solving gx = 12 + 5x + -2x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 12x-1 + 5 + -2x Simplifying g = 12x-1 + 5 + -2x Reorder the terms: g = 5 + 12x-1 + -2x
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