-8w-3=5w^2

Solution for -8w-3=5w^2 equation:

Simplifying
-8w + -3 = 5w2

Reorder the terms:
-3 + -8w = 5w2

Solving
-3 + -8w = 5w2

Solving for variable 'w'.

Combine like terms: 5w2 + -5w2 = 0
-3 + -8w + -5w2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 8w + 5w2) = 0

Factor a trinomial.
-1((1 + w)(3 + 5w)) = 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 '(3 + 5w)' equal to zero and attempt to solve:

Simplifying
3 + 5w = 0

Solving
3 + 5w = 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 + 5w = 0 + -3

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

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

Divide each side by '5'.
w = -0.6

Simplifying
w = -0.6
Solution
w = {-1, -0.6}