2w^2-540w+36000=0

Solution for 2w^2-540w+36000=0 equation:

Simplifying
2w2 + -540w + 36000 = 0

Reorder the terms:
36000 + -540w + 2w2 = 0

Solving
36000 + -540w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18000 + -270w + w2) = 0

Factor a trinomial.
2((120 + -1w)(150 + -1w)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(120 + -1w)' equal to zero and attempt to solve:

Simplifying
120 + -1w = 0

Solving
120 + -1w = 0

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

Add '-120' to each side of the equation.
120 + -120 + -1w = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -1w = 0 + -120
-1w = 0 + -120

Combine like terms: 0 + -120 = -120
-1w = -120

Divide each side by '-1'.
w = 120

Simplifying
w = 120
Subproblem 2
Set the factor '(150 + -1w)' equal to zero and attempt to solve:

Simplifying
150 + -1w = 0

Solving
150 + -1w = 0

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

Add '-150' to each side of the equation.
150 + -150 + -1w = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -1w = 0 + -150
-1w = 0 + -150

Combine like terms: 0 + -150 = -150
-1w = -150

Divide each side by '-1'.
w = 150

Simplifying
w = 150
Solution
w = {120, 150}