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Simplifying f(x) = (x + -4)(3x + 2) Multiply f * x fx = (x + -4)(3x + 2) Reorder the terms: fx = (-4 + x)(3x + 2) Reorder the terms: fx = (-4 + x)(2 + 3x) Multiply (-4 + x) * (2 + 3x) fx = (-4(2 + 3x) + x(2 + 3x)) fx = ((2 * -4 + 3x * -4) + x(2 + 3x)) fx = ((-8 + -12x) + x(2 + 3x)) fx = (-8 + -12x + (2 * x + 3x * x)) fx = (-8 + -12x + (2x + 3x2)) Combine like terms: -12x + 2x = -10x fx = (-8 + -10x + 3x2) Solving fx = -8 + -10x + 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 = -8x-1 + -10 + 3x Simplifying f = -8x-1 + -10 + 3x Reorder the terms: f = -10 + -8x-1 + 3x
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