# How do you solve for u in #4/(u+6)=6/(u+6)+2#?

Then,

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A different approach:

1 can take many different forms, but when you multiply by 1, the value remains unchanged.

We can now disregard the denominators, or bottom numbers, as they are all the same.

Take 18 off of both sides.

Split each side in half.

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To solve for u in the equation 4/(u+6)=6/(u+6)+2, we can start by simplifying the equation. By subtracting 2 from both sides, we get 4/(u+6) - 2 = 6/(u+6). Simplifying further, we have 4/(u+6) - 2(u+6)/(u+6) = 6/(u+6). Combining like terms, we get (4 - 2(u+6))/(u+6) = 6/(u+6). Simplifying the numerator, we have (4 - 2u - 12)/(u+6) = 6/(u+6). Simplifying further, we get (-2u - 8)/(u+6) = 6/(u+6). To eliminate the denominators, we can cross-multiply, giving us (-2u - 8)(u+6) = 6(u+6). Expanding both sides, we have -2u^2 - 12u - 8u - 48 = 6u + 36. Combining like terms, we get -2u^2 - 20u - 48 = 6u + 36. Rearranging the equation, we have -2u^2 - 26u - 84 = 0. To solve this quadratic equation, we can factor or use the quadratic formula. Factoring, we have (u + 2)(2u + 21) = 0. Setting each factor equal to zero, we get u + 2 = 0 or 2u + 21 = 0. Solving these equations, we find u = -2 or u = -21/2. Therefore, the solutions for u in the given equation are u = -2 or u = -21/2.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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