(5+u)x(5u-6)=0

Solution for (5+u)x(5u-6)=0 equation:

Simplifying
(5 + u) * x(5u + -6) = 0

Reorder the terms:
(5 + u) * x(-6 + 5u) = 0

Reorder the terms for easier multiplication:
x(5 + u)(-6 + 5u) = 0

Multiply (5 + u) * (-6 + 5u)
x(5(-6 + 5u) + u(-6 + 5u)) = 0
x((-6 * 5 + 5u * 5) + u(-6 + 5u)) = 0
x((-30 + 25u) + u(-6 + 5u)) = 0
x(-30 + 25u + (-6 * u + 5u * u)) = 0
x(-30 + 25u + (-6u + 5u2)) = 0

Combine like terms: 25u + -6u = 19u
x(-30 + 19u + 5u2) = 0
(-30 * x + 19u * x + 5u2 * x) = 0

Reorder the terms:
(19ux + 5u2x + -30x) = 0
(19ux + 5u2x + -30x) = 0

Solving
19ux + 5u2x + -30x = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(19u + 5u2 + -30) = 0

Factor a trinomial.
x((5u + -6)(u + 5)) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(5u + -6)' equal to zero and attempt to solve:

Simplifying
5u + -6 = 0

Reorder the terms:
-6 + 5u = 0

Solving
-6 + 5u = 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 + 5u = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5u = 0 + 6
5u = 0 + 6

Combine like terms: 0 + 6 = 6
5u = 6

Divide each side by '5'.
u = 1.2

Simplifying
u = 1.2
Subproblem 3
Set the factor '(u + 5)' equal to zero and attempt to solve:

Simplifying
u + 5 = 0

Reorder the terms:
5 + u = 0

Solving
5 + u = 0

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

Add '-5' to each side of the equation.
5 + -5 + u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + u = 0 + -5
u = 0 + -5

Combine like terms: 0 + -5 = -5
u = -5

Simplifying
u = -5
Solution
u = {1.2, -5}