How do you solve #(x-2)/(x+6)=(x+4)/(x+2)#?
You can get rid of the denominators by using the property
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To solve the equation (x-2)/(x+6)=(x+4)/(x+2), we can cross-multiply to eliminate the fractions. This gives us (x-2)(x+2) = (x+4)(x+6). Expanding both sides of the equation, we get x^2 + 2x - 2x - 4 = x^2 + 6x + 4x + 24. Simplifying further, we have x^2 - 4 = x^2 + 10x + 24. By subtracting x^2 from both sides, we get -4 = 10x + 24. Subtracting 24 from both sides, we have -28 = 10x. Dividing both sides by 10, we find x = -2.8. Therefore, the solution to the equation is x = -2.8.
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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.
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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