272=x(x-1)

Solution for 272=x(x-1) equation:

Simplifying
272 = x(x + -1)

Reorder the terms:
272 = x(-1 + x)
272 = (-1 * x + x * x)
272 = (-1x + x2)

Solving
272 = -1x + x2

Solving for variable 'x'.

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

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

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

Factor a trinomial.
(17 + -1x)(16 + x) = 0

Subproblem 1
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17
Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
Solution
x = {17, -16}