W(3W+1)=4

Solution for W(3W+1)=4 equation:

Simplifying
W(3W + 1) = 4

Reorder the terms:
W(1 + 3W) = 4
(1 * W + 3W * W) = 4
(1W + 3W2) = 4

Solving
1W + 3W2 = 4

Solving for variable 'W'.

Reorder the terms:
-4 + 1W + 3W2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 1W + 3W2 = 0

Factor a trinomial.
(-4 + -3W)(1 + -1W) = 0

Subproblem 1
Set the factor '(-4 + -3W)' equal to zero and attempt to solve:

Simplifying
-4 + -3W = 0

Solving
-4 + -3W = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3W = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3W = 0 + 4
-3W = 0 + 4

Combine like terms: 0 + 4 = 4
-3W = 4

Divide each side by '-3'.
W = -1.333333333

Simplifying
W = -1.333333333
Subproblem 2
Set the factor '(1 + -1W)' equal to zero and attempt to solve:

Simplifying
1 + -1W = 0

Solving
1 + -1W = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1W = 0 + -1
-1W = 0 + -1

Combine like terms: 0 + -1 = -1
-1W = -1

Divide each side by '-1'.
W = 1

Simplifying
W = 1
Solution
W = {-1.333333333, 1}