72=X^2-X

Solution for 72=X^2-X equation:

Simplifying
72 = X2 + -1X

Reorder the terms:
72 = -1X + X2

Solving
72 = -1X + X2

Solving for variable 'X'.

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

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

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

Factor a trinomial.
(9 + -1X)(8 + X) = 0

Subproblem 1
Set the factor '(9 + -1X)' equal to zero and attempt to solve:

Simplifying
9 + -1X = 0

Solving
9 + -1X = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1X = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1X = 0 + -9
-1X = 0 + -9

Combine like terms: 0 + -9 = -9
-1X = -9

Divide each side by '-1'.
X = 9

Simplifying
X = 9
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 = {9, -8}