(x)(x+1)=1122

Solution for (x)(x+1)=1122 equation:

Simplifying
(x)(x + 1) = 1122

Reorder the terms:
x(1 + x) = 1122
(1 * x + x * x) = 1122
(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.
(-34 + -1x)(33 + -1x) = 0

Subproblem 1
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
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 = {-34, 33}