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Simplifying f(x) = (15x + -1)(4x + 1) Multiply f * x fx = (15x + -1)(4x + 1) Reorder the terms: fx = (-1 + 15x)(4x + 1) Reorder the terms: fx = (-1 + 15x)(1 + 4x) Multiply (-1 + 15x) * (1 + 4x) fx = (-1(1 + 4x) + 15x * (1 + 4x)) fx = ((1 * -1 + 4x * -1) + 15x * (1 + 4x)) fx = ((-1 + -4x) + 15x * (1 + 4x)) fx = (-1 + -4x + (1 * 15x + 4x * 15x)) fx = (-1 + -4x + (15x + 60x2)) Combine like terms: -4x + 15x = 11x fx = (-1 + 11x + 60x2) Solving fx = -1 + 11x + 60x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -1x-1 + 11 + 60x Simplifying f = -1x-1 + 11 + 60x Reorder the terms: f = 11 + -1x-1 + 60x
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