2(r^2+1)=5

Solution for 2(r^2+1)=5 equation:

Simplifying
2(r2 + 1) = 5

Reorder the terms:
2(1 + r2) = 5
(1 * 2 + r2 * 2) = 5
(2 + 2r2) = 5

Solving
2 + 2r2 = 5

Solving for variable 'r'.

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

Add '-2' to each side of the equation.
2 + -2 + 2r2 = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 2r2 = 5 + -2
2r2 = 5 + -2

Combine like terms: 5 + -2 = 3
2r2 = 3

Divide each side by '2'.
r2 = 1.5

Simplifying
r2 = 1.5

Take the square root of each side:
r = {-1.224744871, 1.224744871}