To solve the equation, we can start by isolating the square root terms on one side of the equation:

√x + √x - 6√x = -3 - √x - 4

Combining like terms, we have:

2√x - 6√x = -7 - √x

Simplifying further, we get:

-4√x = -7 - √x

Next, we can isolate the square root term by moving -√x to the left side:

-4√x + √x = -7

Simplifying, we have:

-3√x = -7

Now, we can solve for √x by dividing both sides of the equation by -3:

√x = -7 / -3

Simplifying further, we get:

√x = 7/3

To solve for x, we square both sides of the equation:

(√x)^2 = (7/3)^2

x = 49/9

Therefore, the solution to the equation is x = 49/9.