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Simplifying g(x) = -1(x + -2)(x + 6) Multiply g * x gx = -1(x + -2)(x + 6) Reorder the terms: gx = -1(-2 + x)(x + 6) Reorder the terms: gx = -1(-2 + x)(6 + x) Multiply (-2 + x) * (6 + x) gx = -1(-2(6 + x) + x(6 + x)) gx = -1((6 * -2 + x * -2) + x(6 + x)) gx = -1((-12 + -2x) + x(6 + x)) gx = -1(-12 + -2x + (6 * x + x * x)) gx = -1(-12 + -2x + (6x + x2)) Combine like terms: -2x + 6x = 4x gx = -1(-12 + 4x + x2) gx = (-12 * -1 + 4x * -1 + x2 * -1) gx = (12 + -4x + -1x2) Solving gx = 12 + -4x + -1x2 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 + -4 + -1x Simplifying g = 12x-1 + -4 + -1x Reorder the terms: g = -4 + 12x-1 + -1x
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