3w-9=-20w^2

Solution for 3w-9=-20w^2 equation:

Simplifying
3w + -9 = -20w2

Reorder the terms:
-9 + 3w = -20w2

Solving
-9 + 3w = -20w2

Solving for variable 'w'.

Combine like terms: -20w2 + 20w2 = 0
-9 + 3w + 20w2 = 0

Factor a trinomial.
(-3 + -4w)(3 + -5w) = 0

Subproblem 1
Set the factor '(-3 + -4w)' equal to zero and attempt to solve:

Simplifying
-3 + -4w = 0

Solving
-3 + -4w = 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 + -4w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4w = 0 + 3
-4w = 0 + 3

Combine like terms: 0 + 3 = 3
-4w = 3

Divide each side by '-4'.
w = -0.75

Simplifying
w = -0.75
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 = {-0.75, 0.6}