x^2+y^2+z^2+t^2=361

Solution for x^2+y^2+z^2+t^2=361 equation:

Simplifying
x2 + y2 + z2 + t2 = 361

Reorder the terms:
t2 + x2 + y2 + z2 = 361

Solving
t2 + x2 + y2 + z2 = 361

Solving for variable 't'.

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

Add '-1x2' to each side of the equation.
t2 + x2 + y2 + -1x2 + z2 = 361 + -1x2

Reorder the terms:
t2 + x2 + -1x2 + y2 + z2 = 361 + -1x2

Combine like terms: x2 + -1x2 = 0
t2 + 0 + y2 + z2 = 361 + -1x2
t2 + y2 + z2 = 361 + -1x2

Add '-1y2' to each side of the equation.
t2 + y2 + -1y2 + z2 = 361 + -1x2 + -1y2

Combine like terms: y2 + -1y2 = 0
t2 + 0 + z2 = 361 + -1x2 + -1y2
t2 + z2 = 361 + -1x2 + -1y2

Add '-1z2' to each side of the equation.
t2 + z2 + -1z2 = 361 + -1x2 + -1y2 + -1z2

Combine like terms: z2 + -1z2 = 0
t2 + 0 = 361 + -1x2 + -1y2 + -1z2
t2 = 361 + -1x2 + -1y2 + -1z2

Simplifying
t2 = 361 + -1x2 + -1y2 + -1z2

Reorder the terms:
-361 + t2 + x2 + y2 + z2 = 361 + -1x2 + -1y2 + -1z2 + -361 + x2 + y2 + z2

Reorder the terms:
-361 + t2 + x2 + y2 + z2 = 361 + -361 + -1x2 + x2 + -1y2 + y2 + -1z2 + z2

Combine like terms: 361 + -361 = 0
-361 + t2 + x2 + y2 + z2 = 0 + -1x2 + x2 + -1y2 + y2 + -1z2 + z2
-361 + t2 + x2 + y2 + z2 = -1x2 + x2 + -1y2 + y2 + -1z2 + z2

Combine like terms: -1x2 + x2 = 0
-361 + t2 + x2 + y2 + z2 = 0 + -1y2 + y2 + -1z2 + z2
-361 + t2 + x2 + y2 + z2 = -1y2 + y2 + -1z2 + z2

Combine like terms: -1y2 + y2 = 0
-361 + t2 + x2 + y2 + z2 = 0 + -1z2 + z2
-361 + t2 + x2 + y2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-361 + t2 + x2 + y2 + z2 = 0

The solution to this equation could not be determined.