x(x-1)=156

Solution for x(x-1)=156 equation:

Simplifying
x(x + -1) = 156

Reorder the terms:
x(-1 + x) = 156
(-1 * x + x * x) = 156
(-1x + x2) = 156

Solving
-1x + x2 = 156

Solving for variable 'x'.

Reorder the terms:
-156 + -1x + x2 = 156 + -156

Combine like terms: 156 + -156 = 0
-156 + -1x + x2 = 0

Factor a trinomial.
(-12 + -1x)(13 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-12, 13}