24u=-5u+5u^2

Solution for 24u=-5u+5u^2 equation:

Simplifying
24u = -5u + 5u2

Solving
24u = -5u + 5u2

Solving for variable 'u'.

Combine like terms: 24u + 5u = 29u
29u + -5u2 = -5u + 5u2 + 5u + -5u2

Reorder the terms:
29u + -5u2 = -5u + 5u + 5u2 + -5u2

Combine like terms: -5u + 5u = 0
29u + -5u2 = 0 + 5u2 + -5u2
29u + -5u2 = 5u2 + -5u2

Combine like terms: 5u2 + -5u2 = 0
29u + -5u2 = 0

Factor out the Greatest Common Factor (GCF), 'u'.
u(29 + -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 '(29 + -5u)' equal to zero and attempt to solve:

Simplifying
29 + -5u = 0

Solving
29 + -5u = 0

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

Add '-29' to each side of the equation.
29 + -29 + -5u = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -5u = 0 + -29
-5u = 0 + -29

Combine like terms: 0 + -29 = -29
-5u = -29

Divide each side by '-5'.
u = 5.8

Simplifying
u = 5.8
Solution
u = {0, 5.8}