u^2=-18u

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Solution for u^2=-18u equation:


Simplifying
u2 = -18u

Solving
u2 = -18u

Solving for variable 'u'.

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

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

Factor out the Greatest Common Factor (GCF), 'u'.
u(18 + u) = 0

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 '(18 + u)' equal to zero and attempt to solve: Simplifying 18 + u = 0 Solving 18 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + u = 0 + -18 Combine like terms: 18 + -18 = 0 0 + u = 0 + -18 u = 0 + -18 Combine like terms: 0 + -18 = -18 u = -18 Simplifying u = -18

Solution

u = {0, -18}

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