(6+U)(2U+7)=0

Solution for (6+U)(2U+7)=0 equation:

Simplifying
(6 + U)(2U + 7) = 0

Reorder the terms:
(6 + U)(7 + 2U) = 0

Multiply (6 + U) * (7 + 2U)
(6(7 + 2U) + U(7 + 2U)) = 0
((7 * 6 + 2U * 6) + U(7 + 2U)) = 0
((42 + 12U) + U(7 + 2U)) = 0
(42 + 12U + (7 * U + 2U * U)) = 0
(42 + 12U + (7U + 2U2)) = 0

Combine like terms: 12U + 7U = 19U
(42 + 19U + 2U2) = 0

Solving
42 + 19U + 2U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(6 + U)(7 + 2U) = 0

Subproblem 1
Set the factor '(6 + U)' equal to zero and attempt to solve:

Simplifying
6 + U = 0

Solving
6 + U = 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 + U = 0 + -6

Combine like terms: 6 + -6 = 0
0 + U = 0 + -6
U = 0 + -6

Combine like terms: 0 + -6 = -6
U = -6

Simplifying
U = -6
Subproblem 2
Set the factor '(7 + 2U)' equal to zero and attempt to solve:

Simplifying
7 + 2U = 0

Solving
7 + 2U = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2U = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2U = 0 + -7
2U = 0 + -7

Combine like terms: 0 + -7 = -7
2U = -7

Divide each side by '2'.
U = -3.5

Simplifying
U = -3.5
Solution
U = {-6, -3.5}