2w^2-55-54=0

Solution for 2w^2-55-54=0 equation:

Simplifying
2w2 + -55 + -54 = 0

Reorder the terms:
-55 + -54 + 2w2 = 0

Combine like terms: -55 + -54 = -109
-109 + 2w2 = 0

Solving
-109 + 2w2 = 0

Solving for variable 'w'.

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

Add '109' to each side of the equation.
-109 + 109 + 2w2 = 0 + 109

Combine like terms: -109 + 109 = 0
0 + 2w2 = 0 + 109
2w2 = 0 + 109

Combine like terms: 0 + 109 = 109
2w2 = 109

Divide each side by '2'.
w2 = 54.5

Simplifying
w2 = 54.5

Take the square root of each side:
w = {-7.38241153, 7.38241153}