4u^5(-1+-1u)(7+-3u)=

Solution for 4u^5(-1+-1u)(7+-3u)= equation:

Simplifying
4u5(-1 + -1u)(7 + -3u) = 0

Multiply (-1 + -1u) * (7 + -3u)
4u5(-1(7 + -3u) + -1u * (7 + -3u)) = 0
4u5((7 * -1 + -3u * -1) + -1u * (7 + -3u)) = 0
4u5((-7 + 3u) + -1u * (7 + -3u)) = 0
4u5(-7 + 3u + (7 * -1u + -3u * -1u)) = 0
4u5(-7 + 3u + (-7u + 3u2)) = 0

Combine like terms: 3u + -7u = -4u
4u5(-7 + -4u + 3u2) = 0
(-7 * 4u5 + -4u * 4u5 + 3u2 * 4u5) = 0
(-28u5 + -16u6 + 12u7) = 0

Solving
-28u5 + -16u6 + 12u7 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4u5'.
4u5(-7 + -4u + 3u2) = 0

Factor a trinomial.
4u5((-1 + -1u)(7 + -3u)) = 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 '(-1 + -1u)' equal to zero and attempt to solve:

Simplifying
-1 + -1u = 0

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

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

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

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

Simplifying
u = -1
Subproblem 3
Set the factor '(7 + -3u)' equal to zero and attempt to solve:

Simplifying
7 + -3u = 0

Solving
7 + -3u = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3u = 0 + -7
-3u = 0 + -7

Combine like terms: 0 + -7 = -7
-3u = -7

Divide each side by '-3'.
u = 2.333333333

Simplifying
u = 2.333333333
Solution
u = {-1, 2.333333333}