-13w=5w^2-6

Solution for -13w=5w^2-6 equation:

Simplifying
-13w = 5w2 + -6

Reorder the terms:
-13w = -6 + 5w2

Solving
-13w = -6 + 5w2

Solving for variable 'w'.

Reorder the terms:
6 + -13w + -5w2 = -6 + 5w2 + 6 + -5w2

Reorder the terms:
6 + -13w + -5w2 = -6 + 6 + 5w2 + -5w2

Combine like terms: -6 + 6 = 0
6 + -13w + -5w2 = 0 + 5w2 + -5w2
6 + -13w + -5w2 = 5w2 + -5w2

Combine like terms: 5w2 + -5w2 = 0
6 + -13w + -5w2 = 0

Factor a trinomial.
(2 + -5w)(3 + w) = 0

Subproblem 1
Set the factor '(2 + -5w)' equal to zero and attempt to solve:

Simplifying
2 + -5w = 0

Solving
2 + -5w = 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 + -5w = 0 + -2

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

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

Divide each side by '-5'.
w = 0.4

Simplifying
w = 0.4
Subproblem 2
Set the factor '(3 + w)' equal to zero and attempt to solve:

Simplifying
3 + w = 0

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

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

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

Simplifying
w = -3
Solution
w = {0.4, -3}