2w^2-11-12=0

Solution for 2w^2-11-12=0 equation:

Simplifying
2w2 + -11 + -12 = 0

Reorder the terms:
-11 + -12 + 2w2 = 0

Combine like terms: -11 + -12 = -23
-23 + 2w2 = 0

Solving
-23 + 2w2 = 0

Solving for variable 'w'.

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

Add '23' to each side of the equation.
-23 + 23 + 2w2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 2w2 = 0 + 23
2w2 = 0 + 23

Combine like terms: 0 + 23 = 23
2w2 = 23

Divide each side by '2'.
w2 = 11.5

Simplifying
w2 = 11.5

Take the square root of each side:
w = {-3.391164992, 3.391164992}