u-6u-4u+u^2=0

Solution for u-6u-4u+u^2=0 equation:

Simplifying
u + -6u + -4u + u2 = 0

Combine like terms: u + -6u = -5u
-5u + -4u + u2 = 0

Combine like terms: -5u + -4u = -9u
-9u + u2 = 0

Solving
-9u + u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-9 + 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 '(-9 + u)' equal to zero and attempt to solve:

Simplifying
-9 + u = 0

Solving
-9 + u = 0

Move all terms containing u to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + u = 0 + 9

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

Combine like terms: 0 + 9 = 9
u = 9

Simplifying
u = 9
Solution
u = {0, 9}