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Simplifying f(x) = (x + -3)(x + -3) + -49 Multiply f * x fx = (x + -3)(x + -3) + -49 Reorder the terms: fx = (-3 + x)(x + -3) + -49 Reorder the terms: fx = (-3 + x)(-3 + x) + -49 Multiply (-3 + x) * (-3 + x) fx = (-3(-3 + x) + x(-3 + x)) + -49 fx = ((-3 * -3 + x * -3) + x(-3 + x)) + -49 fx = ((9 + -3x) + x(-3 + x)) + -49 fx = (9 + -3x + (-3 * x + x * x)) + -49 fx = (9 + -3x + (-3x + x2)) + -49 Combine like terms: -3x + -3x = -6x fx = (9 + -6x + x2) + -49 Reorder the terms: fx = 9 + -49 + -6x + x2 Combine like terms: 9 + -49 = -40 fx = -40 + -6x + x2 Solving fx = -40 + -6x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -40x-1 + -6 + x Simplifying f = -40x-1 + -6 + x Reorder the terms: f = -6 + -40x-1 + x
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