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Simplifying f(x) = (x + -5)(4x + 1) Multiply f * x fx = (x + -5)(4x + 1) Reorder the terms: fx = (-5 + x)(4x + 1) Reorder the terms: fx = (-5 + x)(1 + 4x) Multiply (-5 + x) * (1 + 4x) fx = (-5(1 + 4x) + x(1 + 4x)) fx = ((1 * -5 + 4x * -5) + x(1 + 4x)) fx = ((-5 + -20x) + x(1 + 4x)) fx = (-5 + -20x + (1 * x + 4x * x)) fx = (-5 + -20x + (1x + 4x2)) Combine like terms: -20x + 1x = -19x fx = (-5 + -19x + 4x2) Solving fx = -5 + -19x + 4x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -5x-1 + -19 + 4x Simplifying f = -5x-1 + -19 + 4x Reorder the terms: f = -19 + -5x-1 + 4x
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