(-1+3w+-2w^2)=0

Solution for (-1+3w+-2w^2)=0 equation:

Simplifying
(-1 + 3w + -2w2) = 0

Remove parenthesis around (-1 + 3w + -2w2)
-1 + 3w + -2w2 = 0

Solving
-1 + 3w + -2w2 = 0

Solving for variable 'w'.

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

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

Simplifying
-1 + w = 0

Solving
-1 + w = 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 + w = 0 + 1

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

Combine like terms: 0 + 1 = 1
w = 1

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

Simplifying
1 + -2w = 0

Solving
1 + -2w = 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 + -2w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2w = 0 + -1
-2w = 0 + -1

Combine like terms: 0 + -1 = -1
-2w = -1

Divide each side by '-2'.
w = 0.5

Simplifying
w = 0.5
Solution
w = {1, 0.5}