(u+2)(u-1)=0

Solution for (u+2)(u-1)=0 equation:

Simplifying
(u + 2)(u + -1) = 0

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

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

Multiply (2 + u) * (-1 + u)
(2(-1 + u) + u(-1 + u)) = 0
((-1 * 2 + u * 2) + u(-1 + u)) = 0
((-2 + 2u) + u(-1 + u)) = 0
(-2 + 2u + (-1 * u + u * u)) = 0
(-2 + 2u + (-1u + u2)) = 0

Combine like terms: 2u + -1u = 1u
(-2 + 1u + u2) = 0

Solving
-2 + 1u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-2 + -1u)(1 + -1u) = 0

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

Simplifying
-2 + -1u = 0

Solving
-2 + -1u = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1u = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1u = 0 + 2
-1u = 0 + 2

Combine like terms: 0 + 2 = 2
-1u = 2

Divide each side by '-1'.
u = -2

Simplifying
u = -2
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 = {-2, 1}