2w^2+60w=36000

Solution for 2w^2+60w=36000 equation:

Simplifying
2w2 + 60w = 36000

Reorder the terms:
60w + 2w2 = 36000

Solving
60w + 2w2 = 36000

Solving for variable 'w'.

Reorder the terms:
-36000 + 60w + 2w2 = 36000 + -36000

Combine like terms: 36000 + -36000 = 0
-36000 + 60w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-18000 + 30w + w2) = 0

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

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
w = {-150, 120}