(x+6)(x+7)=

Solution for (x+6)(x+7)= equation:

Simplifying
(x + 6)(x + 7) = 0

Reorder the terms:
(6 + x)(x + 7) = 0

Reorder the terms:
(6 + x)(7 + x) = 0

Multiply (6 + x) * (7 + x)
(6(7 + x) + x(7 + x)) = 0
((7 * 6 + x * 6) + x(7 + x)) = 0
((42 + 6x) + x(7 + x)) = 0
(42 + 6x + (7 * x + x * x)) = 0
(42 + 6x + (7x + x2)) = 0

Combine like terms: 6x + 7x = 13x
(42 + 13x + x2) = 0

Solving
42 + 13x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + x)(6 + x) = 0

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

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

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

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

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

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

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

Simplifying
x = -6
Solution
x = {-7, -6}