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Simplifying f(x) = -4(x + -7)(x + -3) Multiply f * x fx = -4(x + -7)(x + -3) Reorder the terms: fx = -4(-7 + x)(x + -3) Reorder the terms: fx = -4(-7 + x)(-3 + x) Multiply (-7 + x) * (-3 + x) fx = -4(-7(-3 + x) + x(-3 + x)) fx = -4((-3 * -7 + x * -7) + x(-3 + x)) fx = -4((21 + -7x) + x(-3 + x)) fx = -4(21 + -7x + (-3 * x + x * x)) fx = -4(21 + -7x + (-3x + x2)) Combine like terms: -7x + -3x = -10x fx = -4(21 + -10x + x2) fx = (21 * -4 + -10x * -4 + x2 * -4) fx = (-84 + 40x + -4x2) Solving fx = -84 + 40x + -4x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -84x-1 + 40 + -4x Simplifying f = -84x-1 + 40 + -4x Reorder the terms: f = 40 + -84x-1 + -4x
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