# How do you solve #x+4=-4/x#?

The solution is

We can Split the Middle Term of this expression to factorise it and thereby find the solution.

We now equate the factor to zero to obtain the solution(both factors are equal here):

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To solve the equation x + 4 = -4/x, we can start by multiplying both sides of the equation by x to eliminate the fraction. This gives us x(x + 4) = -4. Expanding the left side of the equation, we get x^2 + 4x = -4. Rearranging the equation, we have x^2 + 4x + 4 = 0. Factoring this quadratic equation, we find (x + 2)^2 = 0. Taking the square root of both sides, we get x + 2 = 0. Solving for x, we find x = -2. Therefore, the solution to the equation x + 4 = -4/x is x = -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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