6w^2+7w-20=0

Solution for 6w^2+7w-20=0 equation:

Simplifying
6w2 + 7w + -20 = 0

Reorder the terms:
-20 + 7w + 6w2 = 0

Solving
-20 + 7w + 6w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -2w)(4 + -3w) = 0

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

Simplifying
-5 + -2w = 0

Solving
-5 + -2w = 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 + -2w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2w = 0 + 5
-2w = 0 + 5

Combine like terms: 0 + 5 = 5
-2w = 5

Divide each side by '-2'.
w = -2.5

Simplifying
w = -2.5
Subproblem 2
Set the factor '(4 + -3w)' equal to zero and attempt to solve:

Simplifying
4 + -3w = 0

Solving
4 + -3w = 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 + -3w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3w = 0 + -4
-3w = 0 + -4

Combine like terms: 0 + -4 = -4
-3w = -4

Divide each side by '-3'.
w = 1.333333333

Simplifying
w = 1.333333333
Solution
w = {-2.5, 1.333333333}