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Simplifying f(x) = a(x + -3)(x + -8) Multiply f * x fx = a(x + -3)(x + -8) Reorder the terms: fx = a(-3 + x)(x + -8) Reorder the terms: fx = a(-3 + x)(-8 + x) Multiply (-3 + x) * (-8 + x) fx = a(-3(-8 + x) + x(-8 + x)) fx = a((-8 * -3 + x * -3) + x(-8 + x)) fx = a((24 + -3x) + x(-8 + x)) fx = a(24 + -3x + (-8 * x + x * x)) fx = a(24 + -3x + (-8x + x2)) Combine like terms: -3x + -8x = -11x fx = a(24 + -11x + x2) fx = (24 * a + -11x * a + x2 * a) fx = (24a + -11ax + ax2) Solving fx = 24a + -11ax + ax2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 24ax-1 + -11a + ax Simplifying f = 24ax-1 + -11a + ax Reorder the terms: f = -11a + 24ax-1 + ax
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