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Simplifying f(x) = 3(x + -2)(x + 5) Multiply f * x fx = 3(x + -2)(x + 5) Reorder the terms: fx = 3(-2 + x)(x + 5) Reorder the terms: fx = 3(-2 + x)(5 + x) Multiply (-2 + x) * (5 + x) fx = 3(-2(5 + x) + x(5 + x)) fx = 3((5 * -2 + x * -2) + x(5 + x)) fx = 3((-10 + -2x) + x(5 + x)) fx = 3(-10 + -2x + (5 * x + x * x)) fx = 3(-10 + -2x + (5x + x2)) Combine like terms: -2x + 5x = 3x fx = 3(-10 + 3x + x2) fx = (-10 * 3 + 3x * 3 + x2 * 3) fx = (-30 + 9x + 3x2) Solving fx = -30 + 9x + 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 = -30x-1 + 9 + 3x Simplifying f = -30x-1 + 9 + 3x Reorder the terms: f = 9 + -30x-1 + 3x
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