64+r^2=4r^2

Solution for 64+r^2=4r^2 equation:

Simplifying
64 + r2 = 4r2

Solving
64 + r2 = 4r2

Solving for variable 'r'.

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

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

Combine like terms: r2 + -4r2 = -3r2
64 + -3r2 = 4r2 + -4r2

Combine like terms: 4r2 + -4r2 = 0
64 + -3r2 = 0

Add '-64' to each side of the equation.
64 + -64 + -3r2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -3r2 = 0 + -64
-3r2 = 0 + -64

Combine like terms: 0 + -64 = -64
-3r2 = -64

Divide each side by '-3'.
r2 = 21.33333333

Simplifying
r2 = 21.33333333

Take the square root of each side:
r = {-4.618802153, 4.618802153}