x^2+14x-2352=0

Solution for x^2+14x-2352=0 equation:

Simplifying
x2 + 14x + -2352 = 0

Reorder the terms:
-2352 + 14x + x2 = 0

Solving
-2352 + 14x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-56 + -1x)(42 + -1x) = 0

Subproblem 1
Set the factor '(-56 + -1x)' equal to zero and attempt to solve:

Simplifying
-56 + -1x = 0

Solving
-56 + -1x = 0

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

Add '56' to each side of the equation.
-56 + 56 + -1x = 0 + 56

Combine like terms: -56 + 56 = 0
0 + -1x = 0 + 56
-1x = 0 + 56

Combine like terms: 0 + 56 = 56
-1x = 56

Divide each side by '-1'.
x = -56

Simplifying
x = -56
Subproblem 2
Set the factor '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 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 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42
Solution
x = {-56, 42}