5w^2-11w=12

Solution for 5w^2-11w=12 equation:

Simplifying
5w2 + -11w = 12

Reorder the terms:
-11w + 5w2 = 12

Solving
-11w + 5w2 = 12

Solving for variable 'w'.

Reorder the terms:
-12 + -11w + 5w2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -11w + 5w2 = 0

Factor a trinomial.
(-4 + -5w)(3 + -1w) = 0

Subproblem 1
Set the factor '(-4 + -5w)' equal to zero and attempt to solve:

Simplifying
-4 + -5w = 0

Solving
-4 + -5w = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5w = 0 + 4
-5w = 0 + 4

Combine like terms: 0 + 4 = 4
-5w = 4

Divide each side by '-5'.
w = -0.8

Simplifying
w = -0.8
Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 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 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-0.8, 3}