8u^7-36u^6+36u^5=0

Solution for 8u^7-36u^6+36u^5=0 equation:

Simplifying
8u7 + -36u6 + 36u5 = 0

Reorder the terms:
36u5 + -36u6 + 8u7 = 0

Solving
36u5 + -36u6 + 8u7 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4u5'.
4u5(9 + -9u + 2u2) = 0

Factor a trinomial.
4u5((3 + -2u)(3 + -1u)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'u5' equal to zero and attempt to solve:

Simplifying
u5 = 0

Solving
u5 = 0

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

Simplifying
u5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + -2u)' equal to zero and attempt to solve:

Simplifying
3 + -2u = 0

Solving
3 + -2u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2u = 0 + -3
-2u = 0 + -3

Combine like terms: 0 + -3 = -3
-2u = -3

Divide each side by '-2'.
u = 1.5

Simplifying
u = 1.5
Subproblem 3
Set the factor '(3 + -1u)' equal to zero and attempt to solve:

Simplifying
3 + -1u = 0

Solving
3 + -1u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1u = 0 + -3
-1u = 0 + -3

Combine like terms: 0 + -3 = -3
-1u = -3

Divide each side by '-1'.
u = 3

Simplifying
u = 3
Solution
u = {1.5, 3}