x(x+1)=1332

Solution for x(x+1)=1332 equation:

Simplifying
x(x + 1) = 1332

Reorder the terms:
x(1 + x) = 1332
(1 * x + x * x) = 1332
(1x + x2) = 1332

Solving
1x + x2 = 1332

Solving for variable 'x'.

Reorder the terms:
-1332 + 1x + x2 = 1332 + -1332

Combine like terms: 1332 + -1332 = 0
-1332 + 1x + x2 = 0

Factor a trinomial.
(-37 + -1x)(36 + -1x) = 0

Subproblem 1
Set the factor '(-37 + -1x)' equal to zero and attempt to solve:

Simplifying
-37 + -1x = 0

Solving
-37 + -1x = 0

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

Add '37' to each side of the equation.
-37 + 37 + -1x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -1x = 0 + 37
-1x = 0 + 37

Combine like terms: 0 + 37 = 37
-1x = 37

Divide each side by '-1'.
x = -37

Simplifying
x = -37
Subproblem 2
Set the factor '(36 + -1x)' equal to zero and attempt to solve:

Simplifying
36 + -1x = 0

Solving
36 + -1x = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 0 + -36
-1x = 0 + -36

Combine like terms: 0 + -36 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36
Solution
x = {-37, 36}