(x+1)(x+56)=

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

Simplifying
(x + 1)(x + 56) = 0

Reorder the terms:
(1 + x)(x + 56) = 0

Reorder the terms:
(1 + x)(56 + x) = 0

Multiply (1 + x) * (56 + x)
(1(56 + x) + x(56 + x)) = 0
((56 * 1 + x * 1) + x(56 + x)) = 0
((56 + 1x) + x(56 + x)) = 0
(56 + 1x + (56 * x + x * x)) = 0
(56 + 1x + (56x + x2)) = 0

Combine like terms: 1x + 56x = 57x
(56 + 57x + x2) = 0

Solving
56 + 57x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(56 + x)(1 + x) = 0

Subproblem 1
Set the factor '(56 + x)' equal to zero and attempt to solve:

Simplifying
56 + x = 0

Solving
56 + x = 0

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

Add '-56' to each side of the equation.
56 + -56 + x = 0 + -56

Combine like terms: 56 + -56 = 0
0 + x = 0 + -56
x = 0 + -56

Combine like terms: 0 + -56 = -56
x = -56

Simplifying
x = -56
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

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

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

Simplifying
x = -1
Solution
x = {-56, -1}