w^2=2w

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Solution for w^2=2w equation:


Simplifying
w2 = 2w

Solving
w2 = 2w

Solving for variable 'w'.

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

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

Factor out the Greatest Common Factor (GCF), 'w'.
w(-2 + w) = 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 '(-2 + w)' equal to zero and attempt to solve: Simplifying -2 + w = 0 Solving -2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + w = 0 + 2 w = 0 + 2 Combine like terms: 0 + 2 = 2 w = 2 Simplifying w = 2

Solution

w = {0, 2}

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