9u^2=18u

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Solution for 9u^2=18u equation:


Simplifying
9u2 = 18u

Solving
9u2 = 18u

Solving for variable 'u'.

Reorder the terms:
-18u + 9u2 = 18u + -18u

Combine like terms: 18u + -18u = 0
-18u + 9u2 = 0

Factor out the Greatest Common Factor (GCF), '9u'.
9u(-2 + u) = 0

Ignore the factor 9.

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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