0=x^2+120x+3276

Solution for 0=x^2+120x+3276 equation:

Simplifying
0 = x2 + 120x + 3276

Reorder the terms:
0 = 3276 + 120x + x2

Solving
0 = 3276 + 120x + x2

Solving for variable 'x'.

Combine like terms: 0 + -3276 = -3276
-3276 + -120x + -1x2 = 3276 + 120x + x2 + -3276 + -120x + -1x2

Reorder the terms:
-3276 + -120x + -1x2 = 3276 + -3276 + 120x + -120x + x2 + -1x2

Combine like terms: 3276 + -3276 = 0
-3276 + -120x + -1x2 = 0 + 120x + -120x + x2 + -1x2
-3276 + -120x + -1x2 = 120x + -120x + x2 + -1x2

Combine like terms: 120x + -120x = 0
-3276 + -120x + -1x2 = 0 + x2 + -1x2
-3276 + -120x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3276 + -120x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3276 + 120x + x2) = 0

Factor a trinomial.
-1((78 + x)(42 + x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(78 + x)' equal to zero and attempt to solve:

Simplifying
78 + x = 0

Solving
78 + x = 0

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

Add '-78' to each side of the equation.
78 + -78 + x = 0 + -78

Combine like terms: 78 + -78 = 0
0 + x = 0 + -78
x = 0 + -78

Combine like terms: 0 + -78 = -78
x = -78

Simplifying
x = -78
Subproblem 2
Set the factor '(42 + x)' equal to zero and attempt to solve:

Simplifying
42 + x = 0

Solving
42 + x = 0

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

Add '-42' to each side of the equation.
42 + -42 + x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + x = 0 + -42
x = 0 + -42

Combine like terms: 0 + -42 = -42
x = -42

Simplifying
x = -42
Solution
x = {-78, -42}