ЯсноПонятно24

The given expression is a quadratic equation in terms of x, y, and z. To simplify it, we can rewrite it as:

(x+y+2z)^2 + |x+1|^2 = 0

Now, since the sum of squares of real numbers is always non-negative and the absolute value of any real number is non-negative, the only way for the above expression to be equal to zero is if both terms are equal to zero individually.

Therefore, we have:

1. (x+y+2z)^2 = 0
2. |x+1| = 0

From equation 1, we get:

x + y + 2z = 0

And from equation 2, we get:

x + 1 = 0 x = -1

Substitute x = -1 into the equation x + y + 2z = 0:

-1 + y + 2z = 0 y + 2z = 1

Therefore, the solution to the given quadratic equation is x = -1, y = 1 - 2z.