(u-1)(u+5)=

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

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

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

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

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

Combine like terms: -1u + 5u = 4u
(-5 + 4u + u2) = 0

Solving
-5 + 4u + u2 = 0

Solving for variable 'u'.

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

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

Simplifying
-5 + -1u = 0

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

Combine like terms: -5 + 5 = 0
0 + -1u = 0 + 5
-1u = 0 + 5

Combine like terms: 0 + 5 = 5
-1u = 5

Divide each side by '-1'.
u = -5

Simplifying
u = -5
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
Solution
u = {-5, 1}