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Simplifying g(x) = (x + 3)(x + -2) Multiply g * x gx = (x + 3)(x + -2) Reorder the terms: gx = (3 + x)(x + -2) Reorder the terms: gx = (3 + x)(-2 + x) Multiply (3 + x) * (-2 + x) gx = (3(-2 + x) + x(-2 + x)) gx = ((-2 * 3 + x * 3) + x(-2 + x)) gx = ((-6 + 3x) + x(-2 + x)) gx = (-6 + 3x + (-2 * x + x * x)) gx = (-6 + 3x + (-2x + x2)) Combine like terms: 3x + -2x = 1x gx = (-6 + 1x + x2) Solving gx = -6 + 1x + x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = -6x-1 + 1 + x Simplifying g = -6x-1 + 1 + x Reorder the terms: g = 1 + -6x-1 + x
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