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Simplifying f(x) = (3x + 5)(x + -4) Multiply f * x fx = (3x + 5)(x + -4) Reorder the terms: fx = (5 + 3x)(x + -4) Reorder the terms: fx = (5 + 3x)(-4 + x) Multiply (5 + 3x) * (-4 + x) fx = (5(-4 + x) + 3x * (-4 + x)) fx = ((-4 * 5 + x * 5) + 3x * (-4 + x)) fx = ((-20 + 5x) + 3x * (-4 + x)) fx = (-20 + 5x + (-4 * 3x + x * 3x)) fx = (-20 + 5x + (-12x + 3x2)) Combine like terms: 5x + -12x = -7x fx = (-20 + -7x + 3x2) Solving fx = -20 + -7x + 3x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -20x-1 + -7 + 3x Simplifying f = -20x-1 + -7 + 3x Reorder the terms: f = -7 + -20x-1 + 3x
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