Tìm x

To solve the equation, we need to isolate the variable x.

First, let's simplify both sides of the equation:

√8x - 3√2 + 12 = √50x

To simplify the left side, we can simplify the square roots:

√(4 * 2)x - 3√2 + 12 = √(25 * 2)x

2√2x - 3√2 + 12 = 5√2x

Next, let's move all terms with x to one side of the equation and all constant terms to the other side:

2√2x - 5√2x = 3√2 - 12

-3√2x = 3√2 - 12

Now, let's divide both sides of the equation by -3√2:

x = (3√2 - 12) / -3√2

Simplifying the right side:

x = (3√2 - 12) / -3√2

x = -1 + 4√2

Therefore, the solution to the equation is x = -1 + 4√2.