2w(w-2)=w

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


Simplifying
2w(w + -2) = w

Reorder the terms:
2w(-2 + w) = w
(-2 * 2w + w * 2w) = w
(-4w + 2w2) = w

Solving
-4w + 2w2 = w

Solving for variable 'w'.

Reorder the terms:
-4w + -1w + 2w2 = w + -1w

Combine like terms: -4w + -1w = -5w
-5w + 2w2 = w + -1w

Combine like terms: w + -1w = 0
-5w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-5 + 2w) = 0


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 '(-5 + 2w)' equal to zero and attempt to solve:

Simplifying
-5 + 2w = 0

Solving
-5 + 2w = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2w = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2w = 0 + 5
2w = 0 + 5

Combine like terms: 0 + 5 = 5
2w = 5

Divide each side by '2'.
w = 2.5

Simplifying
w = 2.5
Solution
w = {0, 2.5}

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