5w^2-22-11=4

Solution for 5w^2-22-11=4 equation:

Simplifying
5w2 + -22 + -11 = 4

Reorder the terms:
-22 + -11 + 5w2 = 4

Combine like terms: -22 + -11 = -33
-33 + 5w2 = 4

Solving
-33 + 5w2 = 4

Solving for variable 'w'.

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

Add '33' to each side of the equation.
-33 + 33 + 5w2 = 4 + 33

Combine like terms: -33 + 33 = 0
0 + 5w2 = 4 + 33
5w2 = 4 + 33

Combine like terms: 4 + 33 = 37
5w2 = 37

Divide each side by '5'.
w2 = 7.4

Simplifying
w2 = 7.4

Take the square root of each side:
w = {-2.720294102, 2.720294102}