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

Solution for (1+u)(5u-6)=0 equation:

Simplifying
(1 + u)(5u + -6) = 0

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

Multiply (1 + u) * (-6 + 5u)
(1(-6 + 5u) + u(-6 + 5u)) = 0
((-6 * 1 + 5u * 1) + u(-6 + 5u)) = 0
((-6 + 5u) + u(-6 + 5u)) = 0
(-6 + 5u + (-6 * u + 5u * u)) = 0
(-6 + 5u + (-6u + 5u2)) = 0

Combine like terms: 5u + -6u = -1u
(-6 + -1u + 5u2) = 0

Solving
-6 + -1u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -1u)(6 + -5u) = 0

Subproblem 1
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 2
Set the factor '(6 + -5u)' equal to zero and attempt to solve:

Simplifying
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
Solution
u = {-1, 1.2}