# How do you solve #x + 2 = sqrt(7 x) + 2#?

Subtract 2 on both sides

Square Both Sides

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To solve the equation x + 2 = sqrt(7x) + 2, we can start by subtracting 2 from both sides of the equation to isolate the square root term. This gives us x = sqrt(7x).

Next, we can square both sides of the equation to eliminate the square root. This gives us x^2 = 7x.

Rearranging the equation, we have x^2 - 7x = 0.

Factoring out an x, we get x(x - 7) = 0.

Setting each factor equal to zero, we have x = 0 and x - 7 = 0.

Solving for x, we find x = 0 and x = 7 as the solutions to the equation x + 2 = sqrt(7x) + 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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