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Simplifying f(x) = (4x + 2)(5x + -1) Multiply f * x fx = (4x + 2)(5x + -1) Reorder the terms: fx = (2 + 4x)(5x + -1) Reorder the terms: fx = (2 + 4x)(-1 + 5x) Multiply (2 + 4x) * (-1 + 5x) fx = (2(-1 + 5x) + 4x * (-1 + 5x)) fx = ((-1 * 2 + 5x * 2) + 4x * (-1 + 5x)) fx = ((-2 + 10x) + 4x * (-1 + 5x)) fx = (-2 + 10x + (-1 * 4x + 5x * 4x)) fx = (-2 + 10x + (-4x + 20x2)) Combine like terms: 10x + -4x = 6x fx = (-2 + 6x + 20x2) Solving fx = -2 + 6x + 20x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -2x-1 + 6 + 20x Simplifying f = -2x-1 + 6 + 20x Reorder the terms: f = 6 + -2x-1 + 20x
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