(x)(x)+(7)(x)+(6)(7)+(6)(x)=

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

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

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

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

Reorder the terms:
42 + 7x + 6x + x2 = 0

Combine like terms: 7x + 6x = 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}