22=x^2-10

Solution for 22=x^2-10 equation:

Simplifying
22 = x2 + -10

Reorder the terms:
22 = -10 + x2

Solving
22 = -10 + x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
22 + -1x2 = -10 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
22 + -1x2 = -10 + 0
22 + -1x2 = -10

Add '-22' to each side of the equation.
22 + -22 + -1x2 = -10 + -22

Combine like terms: 22 + -22 = 0
0 + -1x2 = -10 + -22
-1x2 = -10 + -22

Combine like terms: -10 + -22 = -32
-1x2 = -32

Divide each side by '-1'.
x2 = 32

Simplifying
x2 = 32

Take the square root of each side:
x = {-5.656854249, 5.656854249}