u^2=-10u

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Solution for u^2=-10u equation:


Simplifying
u2 = -10u

Solving
u2 = -10u

Solving for variable 'u'.

Reorder the terms:
10u + u2 = -10u + 10u

Combine like terms: -10u + 10u = 0
10u + u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(10 + 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 '(10 + u)' equal to zero and attempt to solve: Simplifying 10 + u = 0 Solving 10 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + u = 0 + -10 Combine like terms: 10 + -10 = 0 0 + u = 0 + -10 u = 0 + -10 Combine like terms: 0 + -10 = -10 u = -10 Simplifying u = -10

Solution

u = {0, -10}

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