x^2+120x-3456=0

Solution for x^2+120x-3456=0 equation:

Simplifying
x2 + 120x + -3456 = 0

Reorder the terms:
-3456 + 120x + x2 = 0

Solving
-3456 + 120x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-144 + -1x)(24 + -1x) = 0

Subproblem 1
Set the factor '(-144 + -1x)' equal to zero and attempt to solve:

Simplifying
-144 + -1x = 0

Solving
-144 + -1x = 0

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

Add '144' to each side of the equation.
-144 + 144 + -1x = 0 + 144

Combine like terms: -144 + 144 = 0
0 + -1x = 0 + 144
-1x = 0 + 144

Combine like terms: 0 + 144 = 144
-1x = 144

Divide each side by '-1'.
x = -144

Simplifying
x = -144
Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {-144, 24}