8u^2=16u

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Solution for 8u^2=16u equation:


Simplifying
8u2 = 16u

Solving
8u2 = 16u

Solving for variable 'u'.

Reorder the terms:
-16u + 8u2 = 16u + -16u

Combine like terms: 16u + -16u = 0
-16u + 8u2 = 0

Factor out the Greatest Common Factor (GCF), '8u'.
8u(-2 + u) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0

Subproblem 2

Set the factor '(-2 + u)' equal to zero and attempt to solve: Simplifying -2 + u = 0 Solving -2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + u = 0 + 2 u = 0 + 2 Combine like terms: 0 + 2 = 2 u = 2 Simplifying u = 2

Solution

u = {0, 2}

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