3u^8-13u^7+4u^6=

Solution for 3u^8-13u^7+4u^6= equation:

Simplifying
3u8 + -13u7 + 4u6 = 0

Reorder the terms:
4u6 + -13u7 + 3u8 = 0

Solving
4u6 + -13u7 + 3u8 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u6'.
u6(4 + -13u + 3u2) = 0

Factor a trinomial.
u6((1 + -3u)(4 + -1u)) = 0

Subproblem 1
Set the factor 'u6' equal to zero and attempt to solve:

Simplifying
u6 = 0

Solving
u6 = 0

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

Simplifying
u6 = 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 '(1 + -3u)' equal to zero and attempt to solve:

Simplifying
1 + -3u = 0

Solving
1 + -3u = 0

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

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

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

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

Divide each side by '-3'.
u = 0.3333333333

Simplifying
u = 0.3333333333
Subproblem 3
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {0.3333333333, 4}