6w^2-19w=20

Solution for 6w^2-19w=20 equation:

Simplifying
6w2 + -19w = 20

Reorder the terms:
-19w + 6w2 = 20

Solving
-19w + 6w2 = 20

Solving for variable 'w'.

Reorder the terms:
-20 + -19w + 6w2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -19w + 6w2 = 0

Factor a trinomial.
(-5 + -6w)(4 + -1w) = 0

Subproblem 1
Set the factor '(-5 + -6w)' equal to zero and attempt to solve:

Simplifying
-5 + -6w = 0

Solving
-5 + -6w = 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 + -6w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6w = 0 + 5
-6w = 0 + 5

Combine like terms: 0 + 5 = 5
-6w = 5

Divide each side by '-6'.
w = -0.8333333333

Simplifying
w = -0.8333333333
Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 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 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Solution
w = {-0.8333333333, 4}