2w^2+20w-6000=0

Solution for 2w^2+20w-6000=0 equation:

Simplifying
2w2 + 20w + -6000 = 0

Reorder the terms:
-6000 + 20w + 2w2 = 0

Solving
-6000 + 20w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3000 + 10w + w2) = 0

Factor a trinomial.
2((-60 + -1w)(50 + -1w)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-60 + -1w)' equal to zero and attempt to solve:

Simplifying
-60 + -1w = 0

Solving
-60 + -1w = 0

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

Add '60' to each side of the equation.
-60 + 60 + -1w = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1w = 0 + 60
-1w = 0 + 60

Combine like terms: 0 + 60 = 60
-1w = 60

Divide each side by '-1'.
w = -60

Simplifying
w = -60
Subproblem 2
Set the factor '(50 + -1w)' equal to zero and attempt to solve:

Simplifying
50 + -1w = 0

Solving
50 + -1w = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1w = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1w = 0 + -50
-1w = 0 + -50

Combine like terms: 0 + -50 = -50
-1w = -50

Divide each side by '-1'.
w = 50

Simplifying
w = 50
Solution
w = {-60, 50}