w^2-4w-896=0

Solution for w^2-4w-896=0 equation:

Simplifying
w2 + -4w + -896 = 0

Reorder the terms:
-896 + -4w + w2 = 0

Solving
-896 + -4w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-28 + -1w)(32 + -1w) = 0

Subproblem 1
Set the factor '(-28 + -1w)' equal to zero and attempt to solve:

Simplifying
-28 + -1w = 0

Solving
-28 + -1w = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1w = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1w = 0 + 28
-1w = 0 + 28

Combine like terms: 0 + 28 = 28
-1w = 28

Divide each side by '-1'.
w = -28

Simplifying
w = -28
Subproblem 2
Set the factor '(32 + -1w)' equal to zero and attempt to solve:

Simplifying
32 + -1w = 0

Solving
32 + -1w = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1w = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1w = 0 + -32
-1w = 0 + -32

Combine like terms: 0 + -32 = -32
-1w = -32

Divide each side by '-1'.
w = 32

Simplifying
w = 32
Solution
w = {-28, 32}