4w^2-71=0

Solution for 4w^2-71=0 equation:

Simplifying
4w2 + -71 = 0

Reorder the terms:
-71 + 4w2 = 0

Solving
-71 + 4w2 = 0

Solving for variable 'w'.

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

Add '71' to each side of the equation.
-71 + 71 + 4w2 = 0 + 71

Combine like terms: -71 + 71 = 0
0 + 4w2 = 0 + 71
4w2 = 0 + 71

Combine like terms: 0 + 71 = 71
4w2 = 71

Divide each side by '4'.
w2 = 17.75

Simplifying
w2 = 17.75

Take the square root of each side:
w = {-4.213074887, 4.213074887}