3w^2-2w-40=0

Solution for 3w^2-2w-40=0 equation:

Simplifying
3w2 + -2w + -40 = 0

Reorder the terms:
-40 + -2w + 3w2 = 0

Solving
-40 + -2w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-10 + -3w)(4 + -1w) = 0

Subproblem 1
Set the factor '(-10 + -3w)' equal to zero and attempt to solve:

Simplifying
-10 + -3w = 0

Solving
-10 + -3w = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3w = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3w = 0 + 10
-3w = 0 + 10

Combine like terms: 0 + 10 = 10
-3w = 10

Divide each side by '-3'.
w = -3.333333333

Simplifying
w = -3.333333333
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 = {-3.333333333, 4}