169w^2-400=

Solution for 169w^2-400= equation:

Simplifying
169w2 + -400 = 0

Reorder the terms:
-400 + 169w2 = 0

Solving
-400 + 169w2 = 0

Solving for variable 'w'.

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

Add '400' to each side of the equation.
-400 + 400 + 169w2 = 0 + 400

Combine like terms: -400 + 400 = 0
0 + 169w2 = 0 + 400
169w2 = 0 + 400

Combine like terms: 0 + 400 = 400
169w2 = 400

Divide each side by '169'.
w2 = 2.366863905

Simplifying
w2 = 2.366863905

Take the square root of each side:
w = {-1.538461538, 1.538461538}