6w^2-9-33=0

Solution for 6w^2-9-33=0 equation:

Simplifying
6w2 + -9 + -33 = 0

Reorder the terms:
-9 + -33 + 6w2 = 0

Combine like terms: -9 + -33 = -42
-42 + 6w2 = 0

Solving
-42 + 6w2 = 0

Solving for variable 'w'.

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

Add '42' to each side of the equation.
-42 + 42 + 6w2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 6w2 = 0 + 42
6w2 = 0 + 42

Combine like terms: 0 + 42 = 42
6w2 = 42

Divide each side by '6'.
w2 = 7

Simplifying
w2 = 7

Take the square root of each side:
w = {-2.645751311, 2.645751311}