8u+2u(u-10)=0

Solution for 8u+2u(u-10)=0 equation:

Simplifying
8u + 2u(u + -10) = 0

Reorder the terms:
8u + 2u(-10 + u) = 0
8u + (-10 * 2u + u * 2u) = 0
8u + (-20u + 2u2) = 0

Combine like terms: 8u + -20u = -12u
-12u + 2u2 = 0

Solving
-12u + 2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u'.
2u(-6 + u) = 0

Ignore the factor 2.
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 '(-6 + u)' equal to zero and attempt to solve:

Simplifying
-6 + u = 0

Solving
-6 + u = 0

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

Add '6' to each side of the equation.
-6 + 6 + u = 0 + 6

Combine like terms: -6 + 6 = 0
0 + u = 0 + 6
u = 0 + 6

Combine like terms: 0 + 6 = 6
u = 6

Simplifying
u = 6
Solution
u = {0, 6}