81w^2-5=59

Solution for 81w^2-5=59 equation:

Simplifying
81w2 + -5 = 59

Reorder the terms:
-5 + 81w2 = 59

Solving
-5 + 81w2 = 59

Solving for variable 'w'.

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

Add '5' to each side of the equation.
-5 + 5 + 81w2 = 59 + 5

Combine like terms: -5 + 5 = 0
0 + 81w2 = 59 + 5
81w2 = 59 + 5

Combine like terms: 59 + 5 = 64
81w2 = 64

Divide each side by '81'.
w2 = 0.7901234568

Simplifying
w2 = 0.7901234568

Take the square root of each side:
w = {-0.888888889, 0.888888889}