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Simplifying f(x) = 2(x + -2)(x + -1(-3)) Multiply f * x fx = 2(x + -2)(x + -1(-3)) Reorder the terms: fx = 2(-2 + x)(x + -1(-3)) Multiply -1 * -3 fx = 2(-2 + x)(x + 3) Reorder the terms: fx = 2(-2 + x)(3 + x) Multiply (-2 + x) * (3 + x) fx = 2(-2(3 + x) + x(3 + x)) fx = 2((3 * -2 + x * -2) + x(3 + x)) fx = 2((-6 + -2x) + x(3 + x)) fx = 2(-6 + -2x + (3 * x + x * x)) fx = 2(-6 + -2x + (3x + x2)) Combine like terms: -2x + 3x = 1x fx = 2(-6 + 1x + x2) fx = (-6 * 2 + 1x * 2 + x2 * 2) fx = (-12 + 2x + 2x2) Solving fx = -12 + 2x + 2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -12x-1 + 2 + 2x Simplifying f = -12x-1 + 2 + 2x Reorder the terms: f = 2 + -12x-1 + 2x
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