3w^2-460w+12000=0

Solution for 3w^2-460w+12000=0 equation:

Simplifying
3w2 + -460w + 12000 = 0

Reorder the terms:
12000 + -460w + 3w2 = 0

Solving
12000 + -460w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(100 + -3w)(120 + -1w) = 0

Subproblem 1
Set the factor '(100 + -3w)' equal to zero and attempt to solve:

Simplifying
100 + -3w = 0

Solving
100 + -3w = 0

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

Add '-100' to each side of the equation.
100 + -100 + -3w = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -3w = 0 + -100
-3w = 0 + -100

Combine like terms: 0 + -100 = -100
-3w = -100

Divide each side by '-3'.
w = 33.33333333

Simplifying
w = 33.33333333
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 = {33.33333333, 120}