(4u^7)-(26u^6)+(12u^5)=0

Solution for (4u^7)-(26u^6)+(12u^5)=0 equation:

Simplifying
(4u7) + -1(26u6) + (12u5) = 0

Remove parenthesis around (26u6)
(4u7) + -1 * 26u6 + (12u5) = 0

Multiply -1 * 26
(4u7) + -26u6 + (12u5) = 0

Reorder the terms:
(12u5) + -26u6 + (4u7) = 0

Solving
(12u5) + -26u6 + (4u7) = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u5'.
2u5(6 + -13u + (2u2)) = 0

Factor a trinomial.
2u5((1 + -2u)(6 + -1u)) = 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 '(1 + -2u)' equal to zero and attempt to solve:

Simplifying
1 + -2u = 0

Solving
1 + -2u = 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 + -2u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2u = 0 + -1
-2u = 0 + -1

Combine like terms: 0 + -1 = -1
-2u = -1

Divide each side by '-2'.
u = 0.5

Simplifying
u = 0.5
Subproblem 3
Set the factor '(6 + -1u)' equal to zero and attempt to solve:

Simplifying
6 + -1u = 0

Solving
6 + -1u = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 0 + -6
-1u = 0 + -6

Combine like terms: 0 + -6 = -6
-1u = -6

Divide each side by '-1'.
u = 6

Simplifying
u = 6
Solution
u = {0.5, 6}