4r^2-2-338=0

Solution for 4r^2-2-338=0 equation:

Simplifying
4r2 + -2 + -338 = 0

Reorder the terms:
-2 + -338 + 4r2 = 0

Combine like terms: -2 + -338 = -340
-340 + 4r2 = 0

Solving
-340 + 4r2 = 0

Solving for variable 'r'.

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

Add '340' to each side of the equation.
-340 + 340 + 4r2 = 0 + 340

Combine like terms: -340 + 340 = 0
0 + 4r2 = 0 + 340
4r2 = 0 + 340

Combine like terms: 0 + 340 = 340
4r2 = 340

Divide each side by '4'.
r2 = 85

Simplifying
r2 = 85

Take the square root of each side:
r = {-9.219544457, 9.219544457}