4(w^2-57)=0

Solution for 4(w^2-57)=0 equation:

Simplifying
4(w2 + -57) = 0

Reorder the terms:
4(-57 + w2) = 0
(-57 * 4 + w2 * 4) = 0
(-228 + 4w2) = 0

Solving
-228 + 4w2 = 0

Solving for variable 'w'.

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

Add '228' to each side of the equation.
-228 + 228 + 4w2 = 0 + 228

Combine like terms: -228 + 228 = 0
0 + 4w2 = 0 + 228
4w2 = 0 + 228

Combine like terms: 0 + 228 = 228
4w2 = 228

Divide each side by '4'.
w2 = 57

Simplifying
w2 = 57

Take the square root of each side:
w = {-7.549834435, 7.549834435}