3W^2+2W-1=0

Solution for 3W^2+2W-1=0 equation:

Simplifying
3W2 + 2W + -1 = 0

Reorder the terms:
-1 + 2W + 3W2 = 0

Solving
-1 + 2W + 3W2 = 0

Solving for variable 'W'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -3W)' equal to zero and attempt to solve:

Simplifying
1 + -3W = 0

Solving
1 + -3W = 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 + -3W = 0 + -1

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

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

Divide each side by '-3'.
W = 0.3333333333

Simplifying
W = 0.3333333333
Solution
W = {-1, 0.3333333333}