x^2+20x+96=396

Solution for x^2+20x+96=396 equation:

Simplifying
x2 + 20x + 96 = 396

Reorder the terms:
96 + 20x + x2 = 396

Solving
96 + 20x + x2 = 396

Solving for variable 'x'.

Reorder the terms:
96 + -396 + 20x + x2 = 396 + -396

Combine like terms: 96 + -396 = -300
-300 + 20x + x2 = 396 + -396

Combine like terms: 396 + -396 = 0
-300 + 20x + x2 = 0

Factor a trinomial.
(-30 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve:

Simplifying
-30 + -1x = 0

Solving
-30 + -1x = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = 0 + 30
-1x = 0 + 30

Combine like terms: 0 + 30 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-30, 10}