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Simplifying f(x) = 3(x + -8)(x + -6) Multiply f * x fx = 3(x + -8)(x + -6) Reorder the terms: fx = 3(-8 + x)(x + -6) Reorder the terms: fx = 3(-8 + x)(-6 + x) Multiply (-8 + x) * (-6 + x) fx = 3(-8(-6 + x) + x(-6 + x)) fx = 3((-6 * -8 + x * -8) + x(-6 + x)) fx = 3((48 + -8x) + x(-6 + x)) fx = 3(48 + -8x + (-6 * x + x * x)) fx = 3(48 + -8x + (-6x + x2)) Combine like terms: -8x + -6x = -14x fx = 3(48 + -14x + x2) fx = (48 * 3 + -14x * 3 + x2 * 3) fx = (144 + -42x + 3x2) Solving fx = 144 + -42x + 3x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 144x-1 + -42 + 3x Simplifying f = 144x-1 + -42 + 3x Reorder the terms: f = -42 + 144x-1 + 3x
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