4*4+x*x=11.5*11.5

Solution for 4*4+x*x=11.5*11.5 equation:

Simplifying
4 * 4 + x * x = 11.5 * 11.5

Multiply 4 * 4
16 + x * x = 11.5 * 11.5

Multiply x * x
16 + x2 = 11.5 * 11.5

Multiply 11.5 * 11.5
16 + x2 = 132.25

Solving
16 + x2 = 132.25

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + x2 = 132.25 + -16

Combine like terms: 16 + -16 = 0
0 + x2 = 132.25 + -16
x2 = 132.25 + -16

Combine like terms: 132.25 + -16 = 116.25
x2 = 116.25

Simplifying
x2 = 116.25

Take the square root of each side:
x = {-10.781929326, 10.781929326}