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Simplifying f(x) = -4(x + -2)(x + -6) Multiply f * x fx = -4(x + -2)(x + -6) Reorder the terms: fx = -4(-2 + x)(x + -6) Reorder the terms: fx = -4(-2 + x)(-6 + x) Multiply (-2 + x) * (-6 + x) fx = -4(-2(-6 + x) + x(-6 + x)) fx = -4((-6 * -2 + x * -2) + x(-6 + x)) fx = -4((12 + -2x) + x(-6 + x)) fx = -4(12 + -2x + (-6 * x + x * x)) fx = -4(12 + -2x + (-6x + x2)) Combine like terms: -2x + -6x = -8x fx = -4(12 + -8x + x2) fx = (12 * -4 + -8x * -4 + x2 * -4) fx = (-48 + 32x + -4x2) Solving fx = -48 + 32x + -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 = -48x-1 + 32 + -4x Simplifying f = -48x-1 + 32 + -4x Reorder the terms: f = 32 + -48x-1 + -4x
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