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

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

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

Reorder the terms:
-3(2 + w)(-1w + 1) = 0

Reorder the terms:
-3(2 + w)(1 + -1w) = 0

Multiply (2 + w) * (1 + -1w)
-3(2(1 + -1w) + w(1 + -1w)) = 0
-3((1 * 2 + -1w * 2) + w(1 + -1w)) = 0
-3((2 + -2w) + w(1 + -1w)) = 0
-3(2 + -2w + (1 * w + -1w * w)) = 0
-3(2 + -2w + (1w + -1w2)) = 0

Combine like terms: -2w + 1w = -1w
-3(2 + -1w + -1w2) = 0
(2 * -3 + -1w * -3 + -1w2 * -3) = 0
(-6 + 3w + 3w2) = 0

Solving
-6 + 3w + 3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + w + w2) = 0

Factor a trinomial.
3((-2 + -1w)(1 + -1w)) = 0

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

Simplifying
-2 + -1w = 0

Solving
-2 + -1w = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1w = 0 + 2

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

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

Divide each side by '-1'.
w = -2

Simplifying
w = -2
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 = {-2, 1}