2(w^2-50w)=

Solution for 2(w^2-50w)= equation:

Simplifying
2(w2 + -50w) = 0

Reorder the terms:
2(-50w + w2) = 0
(-50w * 2 + w2 * 2) = 0
(-100w + 2w2) = 0

Solving
-100w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(-50 + w) = 0

Ignore the factor 2.
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 '(-50 + w)' equal to zero and attempt to solve:

Simplifying
-50 + w = 0

Solving
-50 + w = 0

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

Add '50' to each side of the equation.
-50 + 50 + w = 0 + 50

Combine like terms: -50 + 50 = 0
0 + w = 0 + 50
w = 0 + 50

Combine like terms: 0 + 50 = 50
w = 50

Simplifying
w = 50
Solution
w = {0, 50}