5w^2-22w-11=4

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

Simplifying
5w2 + -22w + -11 = 4

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

Solving
-11 + -22w + 5w2 = 4

Solving for variable 'w'.

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

Combine like terms: -11 + -4 = -15
-15 + -22w + 5w2 = 4 + -4

Combine like terms: 4 + -4 = 0
-15 + -22w + 5w2 = 0

Factor a trinomial.
(-3 + -5w)(5 + -1w) = 0

Subproblem 1
Set the factor '(-3 + -5w)' equal to zero and attempt to solve:

Simplifying
-3 + -5w = 0

Solving
-3 + -5w = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5w = 0 + 3
-5w = 0 + 3

Combine like terms: 0 + 3 = 3
-5w = 3

Divide each side by '-5'.
w = -0.6

Simplifying
w = -0.6
Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5
Solution
w = {-0.6, 5}