(2w+256)(w-96)=0

Solution for (2w+256)(w-96)=0 equation:

Simplifying
(2w + 256)(w + -96) = 0

Reorder the terms:
(256 + 2w)(w + -96) = 0

Reorder the terms:
(256 + 2w)(-96 + w) = 0

Multiply (256 + 2w) * (-96 + w)
(256(-96 + w) + 2w * (-96 + w)) = 0
((-96 * 256 + w * 256) + 2w * (-96 + w)) = 0
((-24576 + 256w) + 2w * (-96 + w)) = 0
(-24576 + 256w + (-96 * 2w + w * 2w)) = 0
(-24576 + 256w + (-192w + 2w2)) = 0

Combine like terms: 256w + -192w = 64w
(-24576 + 64w + 2w2) = 0

Solving
-24576 + 64w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12288 + 32w + w2) = 0

Factor a trinomial.
2((-128 + -1w)(96 + -1w)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-128 + -1w)' equal to zero and attempt to solve:

Simplifying
-128 + -1w = 0

Solving
-128 + -1w = 0

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

Add '128' to each side of the equation.
-128 + 128 + -1w = 0 + 128

Combine like terms: -128 + 128 = 0
0 + -1w = 0 + 128
-1w = 0 + 128

Combine like terms: 0 + 128 = 128
-1w = 128

Divide each side by '-1'.
w = -128

Simplifying
w = -128
Subproblem 2
Set the factor '(96 + -1w)' equal to zero and attempt to solve:

Simplifying
96 + -1w = 0

Solving
96 + -1w = 0

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

Add '-96' to each side of the equation.
96 + -96 + -1w = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -1w = 0 + -96
-1w = 0 + -96

Combine like terms: 0 + -96 = -96
-1w = -96

Divide each side by '-1'.
w = 96

Simplifying
w = 96
Solution
w = {-128, 96}