49w^2-225=0

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

Simplifying
49w2 + -225 = 0

Reorder the terms:
-225 + 49w2 = 0

Solving
-225 + 49w2 = 0

Solving for variable 'w'.

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

Add '225' to each side of the equation.
-225 + 225 + 49w2 = 0 + 225

Combine like terms: -225 + 225 = 0
0 + 49w2 = 0 + 225
49w2 = 0 + 225

Combine like terms: 0 + 225 = 225
49w2 = 225

Divide each side by '49'.
w2 = 4.591836735

Simplifying
w2 = 4.591836735

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