-5w-2=3w^2

Solution for -5w-2=3w^2 equation:

Simplifying
-5w + -2 = 3w2

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

Solving
-2 + -5w = 3w2

Solving for variable 'w'.

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

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

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

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

Simplifying
2 + 3w = 0

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

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

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

Divide each side by '3'.
w = -0.6666666667

Simplifying
w = -0.6666666667
Solution
w = {-1, -0.6666666667}