0=x^2+9x-252

Solution for 0=x^2+9x-252 equation:

Simplifying
0 = x2 + 9x + -252

Reorder the terms:
0 = -252 + 9x + x2

Solving
0 = -252 + 9x + x2

Solving for variable 'x'.

Combine like terms: 0 + 252 = 252
252 + -9x + -1x2 = -252 + 9x + x2 + 252 + -9x + -1x2

Reorder the terms:
252 + -9x + -1x2 = -252 + 252 + 9x + -9x + x2 + -1x2

Combine like terms: -252 + 252 = 0
252 + -9x + -1x2 = 0 + 9x + -9x + x2 + -1x2
252 + -9x + -1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
252 + -9x + -1x2 = 0 + x2 + -1x2
252 + -9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
252 + -9x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(21 + x) = 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 '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
Solution
x = {12, -21}