x(x+1)=8556

Solution for x(x+1)=8556 equation:

Simplifying
x(x + 1) = 8556

Reorder the terms:
x(1 + x) = 8556
(1 * x + x * x) = 8556
(1x + x2) = 8556

Solving
1x + x2 = 8556

Solving for variable 'x'.

Reorder the terms:
-8556 + 1x + x2 = 8556 + -8556

Combine like terms: 8556 + -8556 = 0
-8556 + 1x + x2 = 0

Factor a trinomial.
(-93 + -1x)(92 + -1x) = 0

Subproblem 1
Set the factor '(-93 + -1x)' equal to zero and attempt to solve:

Simplifying
-93 + -1x = 0

Solving
-93 + -1x = 0

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

Add '93' to each side of the equation.
-93 + 93 + -1x = 0 + 93

Combine like terms: -93 + 93 = 0
0 + -1x = 0 + 93
-1x = 0 + 93

Combine like terms: 0 + 93 = 93
-1x = 93

Divide each side by '-1'.
x = -93

Simplifying
x = -93
Subproblem 2
Set the factor '(92 + -1x)' equal to zero and attempt to solve:

Simplifying
92 + -1x = 0

Solving
92 + -1x = 0

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

Add '-92' to each side of the equation.
92 + -92 + -1x = 0 + -92

Combine like terms: 92 + -92 = 0
0 + -1x = 0 + -92
-1x = 0 + -92

Combine like terms: 0 + -92 = -92
-1x = -92

Divide each side by '-1'.
x = 92

Simplifying
x = 92
Solution
x = {-93, 92}