49r^2-64=0

Solution for 49r^2-64=0 equation:

Simplifying
49r2 + -64 = 0

Reorder the terms:
-64 + 49r2 = 0

Solving
-64 + 49r2 = 0

Solving for variable 'r'.

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

Add '64' to each side of the equation.
-64 + 64 + 49r2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 49r2 = 0 + 64
49r2 = 0 + 64

Combine like terms: 0 + 64 = 64
49r2 = 64

Divide each side by '49'.
r2 = 1.306122449

Simplifying
r2 = 1.306122449

Take the square root of each side:
r = {-1.142857143, 1.142857143}