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Simplifying g(x) = -1(x2 + 3)(x2 + -4x) Multiply g * x gx = -1(x2 + 3)(x2 + -4x) Reorder the terms: gx = -1(3 + x2)(x2 + -4x) Reorder the terms: gx = -1(3 + x2)(-4x + x2) Multiply (3 + x2) * (-4x + x2) gx = -1(3(-4x + x2) + x2(-4x + x2)) gx = -1((-4x * 3 + x2 * 3) + x2(-4x + x2)) gx = -1((-12x + 3x2) + x2(-4x + x2)) gx = -1(-12x + 3x2 + (-4x * x2 + x2 * x2)) gx = -1(-12x + 3x2 + (-4x3 + x4)) gx = -1(-12x + 3x2 + -4x3 + x4) gx = (-12x * -1 + 3x2 * -1 + -4x3 * -1 + x4 * -1) gx = (12x + -3x2 + 4x3 + -1x4) Solving gx = 12x + -3x2 + 4x3 + -1x4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 12 + -3x + 4x2 + -1x3 Simplifying g = 12 + -3x + 4x2 + -1x3
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