30w^2+w-20=

Solution for 30w^2+w-20= equation:

Simplifying
30w2 + w + -20 = 0

Reorder the terms:
-20 + w + 30w2 = 0

Solving
-20 + w + 30w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -6w)(4 + -5w) = 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 + -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
Solution
w = {-0.8333333333, 0.8}