4r^2+3=215

Solution for 4r^2+3=215 equation:

Simplifying
4r2 + 3 = 215

Reorder the terms:
3 + 4r2 = 215

Solving
3 + 4r2 = 215

Solving for variable 'r'.

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

Add '-3' to each side of the equation.
3 + -3 + 4r2 = 215 + -3

Combine like terms: 3 + -3 = 0
0 + 4r2 = 215 + -3
4r2 = 215 + -3

Combine like terms: 215 + -3 = 212
4r2 = 212

Divide each side by '4'.
r2 = 53

Simplifying
r2 = 53

Take the square root of each side:
r = {-7.280109889, 7.280109889}