7w(2w-8)=

Solution for 7w(2w-8)= equation:

Simplifying
7w(2w + -8) = 0

Reorder the terms:
7w(-8 + 2w) = 0
(-8 * 7w + 2w * 7w) = 0
(-56w + 14w2) = 0

Solving
-56w + 14w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '14w'.
14w(-4 + w) = 0

Ignore the factor 14.
Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(-4 + w)' equal to zero and attempt to solve:

Simplifying
-4 + w = 0

Solving
-4 + w = 0

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

Add '4' to each side of the equation.
-4 + 4 + w = 0 + 4

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

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

Simplifying
w = 4
Solution
w = {0, 4}