2/(a+3) - (a^2+3a-10)/(a^3+5a^2+6a)=(a-4)/(a^2+3a) Solve for a. Please explaiiin to me how this is -6? And yes, the math answer key say's it's -6.

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2/(a+3) - (a^2+3a-10)/(a^3+5a^2+6a)=(a-4)/(a^2+3a) Solve for a. Please explaiiin to me how this is -6? And yes, the math answer key say's it's -6.

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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I'm doing this but when I see other questions which don't involve as much time as this I jump to those. Don't worry, I'll have it in in a bit.
2 / (a+3) - (a+5)(a-2) / (a+3)(a+2) = (a-4) / (a)(a+3) 2 - (a+5)(a-2) / (a+2) = (a-4) / a 2(a+2) / (a+2) - (a+5)(a-2) / (a+2) = (a-4) / a 2a + 4 - (a^2 +3a - 10) / (a+2) = (a-4) / a 2a + 4 - a^2 - 3a + 10 / (a+2) = (a-4) / a -a^2 - a + 14 / (a+2) = (a-4) / a -a^3 - a^2 + 14a = (a-4)(a+2) -a^3 - a^2 + 14a = a^2 - 2a - 8 -a^3 - 2a^2 + 14a + 8 = 0 a^3 + 2a^2 - 14a - 8 = 0 I don't think I'm getting -6. Probably did it too fast so I messed up somewhere.

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