x^2-x=1122

Solution for x^2-x=1122 equation:

Simplifying
x2 + -1x = 1122

Reorder the terms:
-1x + x2 = 1122

Solving
-1x + x2 = 1122

Solving for variable 'x'.

Reorder the terms:
-1122 + -1x + x2 = 1122 + -1122

Combine like terms: 1122 + -1122 = 0
-1122 + -1x + x2 = 0

Factor a trinomial.
(-33 + -1x)(34 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(34 + -1x)' equal to zero and attempt to solve:

Simplifying
34 + -1x = 0

Solving
34 + -1x = 0

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

Add '-34' to each side of the equation.
34 + -34 + -1x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = 0 + -34
-1x = 0 + -34

Combine like terms: 0 + -34 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34
Solution
x = {-33, 34}