w^2-3w-208=0

Solution for w^2-3w-208=0 equation:

Simplifying
w2 + -3w + -208 = 0

Reorder the terms:
-208 + -3w + w2 = 0

Solving
-208 + -3w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-13 + -1w)(16 + -1w) = 0

Subproblem 1
Set the factor '(-13 + -1w)' equal to zero and attempt to solve:

Simplifying
-13 + -1w = 0

Solving
-13 + -1w = 0

Move all terms containing w to the left, all other terms to the right.

Add '13' to each side of the equation.
-13 + 13 + -1w = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1w = 0 + 13
-1w = 0 + 13

Combine like terms: 0 + 13 = 13
-1w = 13

Divide each side by '-1'.
w = -13

Simplifying
w = -13
Subproblem 2
Set the factor '(16 + -1w)' equal to zero and attempt to solve:

Simplifying
16 + -1w = 0

Solving
16 + -1w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + -1w = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1w = 0 + -16
-1w = 0 + -16

Combine like terms: 0 + -16 = -16
-1w = -16

Divide each side by '-1'.
w = 16

Simplifying
w = 16
Solution
w = {-13, 16}