X(X-1)=552

Solution for X(X-1)=552 equation:

Simplifying
X(X + -1) = 552

Reorder the terms:
X(-1 + X) = 552
(-1 * X + X * X) = 552
(-1X + X2) = 552

Solving
-1X + X2 = 552

Solving for variable 'X'.

Reorder the terms:
-552 + -1X + X2 = 552 + -552

Combine like terms: 552 + -552 = 0
-552 + -1X + X2 = 0

Factor a trinomial.
(-23 + -1X)(24 + -1X) = 0

Subproblem 1
Set the factor '(-23 + -1X)' equal to zero and attempt to solve:

Simplifying
-23 + -1X = 0

Solving
-23 + -1X = 0

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

Add '23' to each side of the equation.
-23 + 23 + -1X = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1X = 0 + 23
-1X = 0 + 23

Combine like terms: 0 + 23 = 23
-1X = 23

Divide each side by '-1'.
X = -23

Simplifying
X = -23
Subproblem 2
Set the factor '(24 + -1X)' equal to zero and attempt to solve:

Simplifying
24 + -1X = 0

Solving
24 + -1X = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1X = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1X = 0 + -24
-1X = 0 + -24

Combine like terms: 0 + -24 = -24
-1X = -24

Divide each side by '-1'.
X = 24

Simplifying
X = 24
Solution
X = {-23, 24}