(u+4)(u-1)=0

Solution for (u+4)(u-1)=0 equation:

Simplifying
(u + 4)(u + -1) = 0

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

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

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

Combine like terms: 4u + -1u = 3u
(-4 + 3u + u2) = 0

Solving
-4 + 3u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4 + -1u)(1 + -1u) = 0

Subproblem 1
Set the factor '(-4 + -1u)' equal to zero and attempt to solve:

Simplifying
-4 + -1u = 0

Solving
-4 + -1u = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1u = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1u = 0 + 4
-1u = 0 + 4

Combine like terms: 0 + 4 = 4
-1u = 4

Divide each side by '-1'.
u = -4

Simplifying
u = -4
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 = {-4, 1}