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Simplifying f(x) = -3(x + -4)(x + 5) Multiply f * x fx = -3(x + -4)(x + 5) Reorder the terms: fx = -3(-4 + x)(x + 5) Reorder the terms: fx = -3(-4 + x)(5 + x) Multiply (-4 + x) * (5 + x) fx = -3(-4(5 + x) + x(5 + x)) fx = -3((5 * -4 + x * -4) + x(5 + x)) fx = -3((-20 + -4x) + x(5 + x)) fx = -3(-20 + -4x + (5 * x + x * x)) fx = -3(-20 + -4x + (5x + x2)) Combine like terms: -4x + 5x = 1x fx = -3(-20 + 1x + x2) fx = (-20 * -3 + 1x * -3 + x2 * -3) fx = (60 + -3x + -3x2) Solving fx = 60 + -3x + -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 = 60x-1 + -3 + -3x Simplifying f = 60x-1 + -3 + -3x Reorder the terms: f = -3 + 60x-1 + -3x
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