(x+5)(x+4)=56

Solution for (x+5)(x+4)=56 equation:

Simplifying
(x + 5)(x + 4) = 56

Reorder the terms:
(5 + x)(x + 4) = 56

Reorder the terms:
(5 + x)(4 + x) = 56

Multiply (5 + x) * (4 + x)
(5(4 + x) + x(4 + x)) = 56
((4 * 5 + x * 5) + x(4 + x)) = 56
((20 + 5x) + x(4 + x)) = 56
(20 + 5x + (4 * x + x * x)) = 56
(20 + 5x + (4x + x2)) = 56

Combine like terms: 5x + 4x = 9x
(20 + 9x + x2) = 56

Solving
20 + 9x + x2 = 56

Solving for variable 'x'.

Reorder the terms:
20 + -56 + 9x + x2 = 56 + -56

Combine like terms: 20 + -56 = -36
-36 + 9x + x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-36 + 9x + x2 = 0

Factor a trinomial.
(-12 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-12, 3}