3-5w-2w*w=6

Solution for 3-5w-2w*w=6 equation:

Simplifying
3 + -5w + -2w * w = 6

Multiply w * w
3 + -5w + -2w2 = 6

Solving
3 + -5w + -2w2 = 6

Solving for variable 'w'.

Reorder the terms:
3 + -6 + -5w + -2w2 = 6 + -6

Combine like terms: 3 + -6 = -3
-3 + -5w + -2w2 = 6 + -6

Combine like terms: 6 + -6 = 0
-3 + -5w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 5w + 2w2) = 0

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

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

Simplifying
3 + 2w = 0

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

Combine like terms: 3 + -3 = 0
0 + 2w = 0 + -3
2w = 0 + -3

Combine like terms: 0 + -3 = -3
2w = -3

Divide each side by '2'.
w = -1.5

Simplifying
w = -1.5
Subproblem 2
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
Solution
w = {-1.5, -1}