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Simplifying f(x) = (x + -8)(x + 5)(x + -2) Multiply f * x fx = (x + -8)(x + 5)(x + -2) Reorder the terms: fx = (-8 + x)(x + 5)(x + -2) Reorder the terms: fx = (-8 + x)(5 + x)(x + -2) Reorder the terms: fx = (-8 + x)(5 + x)(-2 + x) Multiply (-8 + x) * (5 + x) fx = (-8(5 + x) + x(5 + x))(-2 + x) fx = ((5 * -8 + x * -8) + x(5 + x))(-2 + x) fx = ((-40 + -8x) + x(5 + x))(-2 + x) fx = (-40 + -8x + (5 * x + x * x))(-2 + x) fx = (-40 + -8x + (5x + x2))(-2 + x) Combine like terms: -8x + 5x = -3x fx = (-40 + -3x + x2)(-2 + x) Multiply (-40 + -3x + x2) * (-2 + x) fx = (-40(-2 + x) + -3x * (-2 + x) + x2(-2 + x)) fx = ((-2 * -40 + x * -40) + -3x * (-2 + x) + x2(-2 + x)) fx = ((80 + -40x) + -3x * (-2 + x) + x2(-2 + x)) fx = (80 + -40x + (-2 * -3x + x * -3x) + x2(-2 + x)) fx = (80 + -40x + (6x + -3x2) + x2(-2 + x)) fx = (80 + -40x + 6x + -3x2 + (-2 * x2 + x * x2)) fx = (80 + -40x + 6x + -3x2 + (-2x2 + x3)) Combine like terms: -40x + 6x = -34x fx = (80 + -34x + -3x2 + -2x2 + x3) Combine like terms: -3x2 + -2x2 = -5x2 fx = (80 + -34x + -5x2 + x3) Solving fx = 80 + -34x + -5x2 + x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 80x-1 + -34 + -5x + x2 Simplifying f = 80x-1 + -34 + -5x + x2 Reorder the terms: f = -34 + 80x-1 + -5x + x2
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