(2U+4)(U+1)=

Solution for (2U+4)(U+1)= equation:

Simplifying
(2U + 4)(U + 1) = 0

Reorder the terms:
(4 + 2U)(U + 1) = 0

Reorder the terms:
(4 + 2U)(1 + U) = 0

Multiply (4 + 2U) * (1 + U)
(4(1 + U) + 2U * (1 + U)) = 0
((1 * 4 + U * 4) + 2U * (1 + U)) = 0
((4 + 4U) + 2U * (1 + U)) = 0
(4 + 4U + (1 * 2U + U * 2U)) = 0
(4 + 4U + (2U + 2U2)) = 0

Combine like terms: 4U + 2U = 6U
(4 + 6U + 2U2) = 0

Solving
4 + 6U + 2U2 = 0

Solving for variable 'U'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 3U + U2) = 0

Factor a trinomial.
2((2 + U)(1 + U)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + U)' equal to zero and attempt to solve:

Simplifying
2 + U = 0

Solving
2 + U = 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 + U = 0 + -2

Combine like terms: 2 + -2 = 0
0 + U = 0 + -2
U = 0 + -2

Combine like terms: 0 + -2 = -2
U = -2

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

Simplifying
1 + U = 0

Solving
1 + U = 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 + U = 0 + -1

Combine like terms: 1 + -1 = 0
0 + U = 0 + -1
U = 0 + -1

Combine like terms: 0 + -1 = -1
U = -1

Simplifying
U = -1
Solution
U = {-2, -1}