56=x(x+1)

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

Simplifying
56 = x(x + 1)

Reorder the terms:
56 = x(1 + x)
56 = (1 * x + x * x)
56 = (1x + x2)

Solving
56 = 1x + x2

Solving for variable 'x'.

Reorder the terms:
56 + -1x + -1x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
56 + -1x + -1x2 = 0 + x2 + -1x2
56 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
56 + -1x + -1x2 = 0

Factor a trinomial.
(7 + -1x)(8 + x) = 0

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {7, -8}