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Simplifying f(x) = (8x + -3)(2x + -5) Multiply f * x fx = (8x + -3)(2x + -5) Reorder the terms: fx = (-3 + 8x)(2x + -5) Reorder the terms: fx = (-3 + 8x)(-5 + 2x) Multiply (-3 + 8x) * (-5 + 2x) fx = (-3(-5 + 2x) + 8x * (-5 + 2x)) fx = ((-5 * -3 + 2x * -3) + 8x * (-5 + 2x)) fx = ((15 + -6x) + 8x * (-5 + 2x)) fx = (15 + -6x + (-5 * 8x + 2x * 8x)) fx = (15 + -6x + (-40x + 16x2)) Combine like terms: -6x + -40x = -46x fx = (15 + -46x + 16x2) Solving fx = 15 + -46x + 16x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 15x-1 + -46 + 16x Simplifying f = 15x-1 + -46 + 16x Reorder the terms: f = -46 + 15x-1 + 16x
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