5=x^2+1

Solution for 5=x^2+1 equation:

Simplifying
5 = x2 + 1

Reorder the terms:
5 = 1 + x2

Solving
5 = 1 + 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.
5 + -1x2 = 1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + -1x2 = 1 + 0
5 + -1x2 = 1

Add '-5' to each side of the equation.
5 + -5 + -1x2 = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 1 + -5
-1x2 = 1 + -5

Combine like terms: 1 + -5 = -4
-1x2 = -4

Divide each side by '-1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}