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Simplifying f(x) = (4x + -3)(2x + -1) Multiply f * x fx = (4x + -3)(2x + -1) Reorder the terms: fx = (-3 + 4x)(2x + -1) Reorder the terms: fx = (-3 + 4x)(-1 + 2x) Multiply (-3 + 4x) * (-1 + 2x) fx = (-3(-1 + 2x) + 4x * (-1 + 2x)) fx = ((-1 * -3 + 2x * -3) + 4x * (-1 + 2x)) fx = ((3 + -6x) + 4x * (-1 + 2x)) fx = (3 + -6x + (-1 * 4x + 2x * 4x)) fx = (3 + -6x + (-4x + 8x2)) Combine like terms: -6x + -4x = -10x fx = (3 + -10x + 8x2) Solving fx = 3 + -10x + 8x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 3x-1 + -10 + 8x Simplifying f = 3x-1 + -10 + 8x Reorder the terms: f = -10 + 3x-1 + 8x
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