30=(3w-1)w

Solution for 30=(3w-1)w equation:

Simplifying
30 = (3w + -1) * w

Reorder the terms:
30 = (-1 + 3w) * w

Reorder the terms for easier multiplication:
30 = w(-1 + 3w)
30 = (-1 * w + 3w * w)
30 = (-1w + 3w2)

Solving
30 = -1w + 3w2

Solving for variable 'w'.

Reorder the terms:
30 + w + -3w2 = -1w + w + 3w2 + -3w2

Combine like terms: -1w + w = 0
30 + w + -3w2 = 0 + 3w2 + -3w2
30 + w + -3w2 = 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
30 + w + -3w2 = 0

Factor a trinomial.
(10 + -3w)(3 + w) = 0

Subproblem 1
Set the factor '(10 + -3w)' equal to zero and attempt to solve:

Simplifying
10 + -3w = 0

Solving
10 + -3w = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3w = 0 + -10
-3w = 0 + -10

Combine like terms: 0 + -10 = -10
-3w = -10

Divide each side by '-3'.
w = 3.333333333

Simplifying
w = 3.333333333
Subproblem 2
Set the factor '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

Solving
3 + w = 0

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

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

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

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

Simplifying
w = -3
Solution
w = {3.333333333, -3}