w^2+5w-6000=0

Solution for w^2+5w-6000=0 equation:

Simplifying
w2 + 5w + -6000 = 0

Reorder the terms:
-6000 + 5w + w2 = 0

Solving
-6000 + 5w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-80 + -1w)(75 + -1w) = 0

Subproblem 1
Set the factor '(-80 + -1w)' equal to zero and attempt to solve:

Simplifying
-80 + -1w = 0

Solving
-80 + -1w = 0

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

Add '80' to each side of the equation.
-80 + 80 + -1w = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -1w = 0 + 80
-1w = 0 + 80

Combine like terms: 0 + 80 = 80
-1w = 80

Divide each side by '-1'.
w = -80

Simplifying
w = -80
Subproblem 2
Set the factor '(75 + -1w)' equal to zero and attempt to solve:

Simplifying
75 + -1w = 0

Solving
75 + -1w = 0

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

Add '-75' to each side of the equation.
75 + -75 + -1w = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -1w = 0 + -75
-1w = 0 + -75

Combine like terms: 0 + -75 = -75
-1w = -75

Divide each side by '-1'.
w = 75

Simplifying
w = 75
Solution
w = {-80, 75}