(u+1)(u+6)=

Solution for (u+1)(u+6)= equation:

Simplifying
(u + 1)(u + 6) = 0

Reorder the terms:
(1 + u)(u + 6) = 0

Reorder the terms:
(1 + u)(6 + u) = 0

Multiply (1 + u) * (6 + u)
(1(6 + u) + u(6 + u)) = 0
((6 * 1 + u * 1) + u(6 + u)) = 0
((6 + 1u) + u(6 + u)) = 0
(6 + 1u + (6 * u + u * u)) = 0
(6 + 1u + (6u + u2)) = 0

Combine like terms: 1u + 6u = 7u
(6 + 7u + u2) = 0

Solving
6 + 7u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(6 + u)(1 + u) = 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 '(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 = {-6, -1}