6u^7+28u^6+16u^5=

Solution for 6u^7+28u^6+16u^5= equation:

Simplifying
6u7 + 28u6 + 16u5 = 0

Reorder the terms:
16u5 + 28u6 + 6u7 = 0

Solving
16u5 + 28u6 + 6u7 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u5'.
2u5(8 + 14u + 3u2) = 0

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

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

Simplifying
4 + u = 0

Solving
4 + u = 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 + u = 0 + -4

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

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

Simplifying
u = -4
Subproblem 3
Set the factor '(2 + 3u)' equal to zero and attempt to solve:

Simplifying
2 + 3u = 0

Solving
2 + 3u = 0

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

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

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

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

Divide each side by '3'.
u = -0.6666666667

Simplifying
u = -0.6666666667
Solution
u = {-4, -0.6666666667}