4r^2+1=181

Solution for 4r^2+1=181 equation:

Simplifying
4r2 + 1 = 181

Reorder the terms:
1 + 4r2 = 181

Solving
1 + 4r2 = 181

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + 4r2 = 181 + -1

Combine like terms: 1 + -1 = 0
0 + 4r2 = 181 + -1
4r2 = 181 + -1

Combine like terms: 181 + -1 = 180
4r2 = 180

Divide each side by '4'.
r2 = 45

Simplifying
r2 = 45

Take the square root of each side:
r = {-6.708203933, 6.708203933}