49r^2-225=0

Solution for 49r^2-225=0 equation:

Simplifying
49r2 + -225 = 0

Reorder the terms:
-225 + 49r2 = 0

Solving
-225 + 49r2 = 0

Solving for variable 'r'.

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

Add '225' to each side of the equation.
-225 + 225 + 49r2 = 0 + 225

Combine like terms: -225 + 225 = 0
0 + 49r2 = 0 + 225
49r2 = 0 + 225

Combine like terms: 0 + 225 = 225
49r2 = 225

Divide each side by '49'.
r2 = 4.591836735

Simplifying
r2 = 4.591836735

Take the square root of each side:
r = {-2.142857143, 2.142857143}