(x+1)(x+2)=56

Solution for (x+1)(x+2)=56 equation:

Simplifying
(x + 1)(x + 2) = 56

Reorder the terms:
(1 + x)(x + 2) = 56

Reorder the terms:
(1 + x)(2 + x) = 56

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x)) = 56
((2 * 1 + x * 1) + x(2 + x)) = 56
((2 + 1x) + x(2 + x)) = 56
(2 + 1x + (2 * x + x * x)) = 56
(2 + 1x + (2x + x2)) = 56

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2) = 56

Solving
2 + 3x + x2 = 56

Solving for variable 'x'.

Reorder the terms:
2 + -56 + 3x + x2 = 56 + -56

Combine like terms: 2 + -56 = -54
-54 + 3x + x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-54 + 3x + x2 = 0

Factor a trinomial.
(-9 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9
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 = {-9, 6}