5u^2+6u=17u

Solution for 5u^2+6u=17u equation:

Simplifying
5u2 + 6u = 17u

Reorder the terms:
6u + 5u2 = 17u

Solving
6u + 5u2 = 17u

Solving for variable 'u'.

Reorder the terms:
6u + -17u + 5u2 = 17u + -17u

Combine like terms: 6u + -17u = -11u
-11u + 5u2 = 17u + -17u

Combine like terms: 17u + -17u = 0
-11u + 5u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(-11 + 5u) = 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 '(-11 + 5u)' equal to zero and attempt to solve:

Simplifying
-11 + 5u = 0

Solving
-11 + 5u = 0

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

Add '11' to each side of the equation.
-11 + 11 + 5u = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 5u = 0 + 11
5u = 0 + 11

Combine like terms: 0 + 11 = 11
5u = 11

Divide each side by '5'.
u = 2.2

Simplifying
u = 2.2
Solution
u = {0, 2.2}