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Simplifying f(x) = (2x + -2)(x + 5) Multiply f * x fx = (2x + -2)(x + 5) Reorder the terms: fx = (-2 + 2x)(x + 5) Reorder the terms: fx = (-2 + 2x)(5 + x) Multiply (-2 + 2x) * (5 + x) fx = (-2(5 + x) + 2x * (5 + x)) fx = ((5 * -2 + x * -2) + 2x * (5 + x)) fx = ((-10 + -2x) + 2x * (5 + x)) fx = (-10 + -2x + (5 * 2x + x * 2x)) fx = (-10 + -2x + (10x + 2x2)) Combine like terms: -2x + 10x = 8x fx = (-10 + 8x + 2x2) Solving fx = -10 + 8x + 2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -10x-1 + 8 + 2x Simplifying f = -10x-1 + 8 + 2x Reorder the terms: f = 8 + -10x-1 + 2x
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