(x+7)(x+2)=104

Solution for (x+7)(x+2)=104 equation:

Simplifying
(x + 7)(x + 2) = 104

Reorder the terms:
(7 + x)(x + 2) = 104

Reorder the terms:
(7 + x)(2 + x) = 104

Multiply (7 + x) * (2 + x)
(7(2 + x) + x(2 + x)) = 104
((2 * 7 + x * 7) + x(2 + x)) = 104
((14 + 7x) + x(2 + x)) = 104
(14 + 7x + (2 * x + x * x)) = 104
(14 + 7x + (2x + x2)) = 104

Combine like terms: 7x + 2x = 9x
(14 + 9x + x2) = 104

Solving
14 + 9x + x2 = 104

Solving for variable 'x'.

Reorder the terms:
14 + -104 + 9x + x2 = 104 + -104

Combine like terms: 14 + -104 = -90
-90 + 9x + x2 = 104 + -104

Combine like terms: 104 + -104 = 0
-90 + 9x + x2 = 0

Factor a trinomial.
(-15 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-15, 6}