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Simplifying g(-4) = (x + 3)(x + -2) Reorder the terms for easier multiplication: -4g = (x + 3)(x + -2) Reorder the terms: -4g = (3 + x)(x + -2) Reorder the terms: -4g = (3 + x)(-2 + x) Multiply (3 + x) * (-2 + x) -4g = (3(-2 + x) + x(-2 + x)) -4g = ((-2 * 3 + x * 3) + x(-2 + x)) -4g = ((-6 + 3x) + x(-2 + x)) -4g = (-6 + 3x + (-2 * x + x * x)) -4g = (-6 + 3x + (-2x + x2)) Combine like terms: 3x + -2x = 1x -4g = (-6 + 1x + x2) Solving -4g = -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 '-4'. g = 1.5 + -0.25x + -0.25x2 Simplifying g = 1.5 + -0.25x + -0.25x2
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