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Simplifying f(x) = 2(x + -5)(x + -3) Multiply f * x fx = 2(x + -5)(x + -3) Reorder the terms: fx = 2(-5 + x)(x + -3) Reorder the terms: fx = 2(-5 + x)(-3 + x) Multiply (-5 + x) * (-3 + x) fx = 2(-5(-3 + x) + x(-3 + x)) fx = 2((-3 * -5 + x * -5) + x(-3 + x)) fx = 2((15 + -5x) + x(-3 + x)) fx = 2(15 + -5x + (-3 * x + x * x)) fx = 2(15 + -5x + (-3x + x2)) Combine like terms: -5x + -3x = -8x fx = 2(15 + -8x + x2) fx = (15 * 2 + -8x * 2 + x2 * 2) fx = (30 + -16x + 2x2) Solving fx = 30 + -16x + 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 = 30x-1 + -16 + 2x Simplifying f = 30x-1 + -16 + 2x Reorder the terms: f = -16 + 30x-1 + 2x
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