x(x-1)=1056

Solution for x(x-1)=1056 equation:

Simplifying
x(x + -1) = 1056

Reorder the terms:
x(-1 + x) = 1056
(-1 * x + x * x) = 1056
(-1x + x2) = 1056

Solving
-1x + x2 = 1056

Solving for variable 'x'.

Reorder the terms:
-1056 + -1x + x2 = 1056 + -1056

Combine like terms: 1056 + -1056 = 0
-1056 + -1x + x2 = 0

Factor a trinomial.
(-32 + -1x)(33 + -1x) = 0

Subproblem 1
Set the factor '(-32 + -1x)' equal to zero and attempt to solve:

Simplifying
-32 + -1x = 0

Solving
-32 + -1x = 0

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

Add '32' to each side of the equation.
-32 + 32 + -1x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -1x = 0 + 32
-1x = 0 + 32

Combine like terms: 0 + 32 = 32
-1x = 32

Divide each side by '-1'.
x = -32

Simplifying
x = -32
Subproblem 2
Set the factor '(33 + -1x)' equal to zero and attempt to solve:

Simplifying
33 + -1x = 0

Solving
33 + -1x = 0

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

Add '-33' to each side of the equation.
33 + -33 + -1x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -1x = 0 + -33
-1x = 0 + -33

Combine like terms: 0 + -33 = -33
-1x = -33

Divide each side by '-1'.
x = 33

Simplifying
x = 33
Solution
x = {-32, 33}