x^2+2x-3024=0

Solution for x^2+2x-3024=0 equation:

Simplifying
x2 + 2x + -3024 = 0

Reorder the terms:
-3024 + 2x + x2 = 0

Solving
-3024 + 2x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-56 + -1x)(54 + -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 '(54 + -1x)' equal to zero and attempt to solve:

Simplifying
54 + -1x = 0

Solving
54 + -1x = 0

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

Add '-54' to each side of the equation.
54 + -54 + -1x = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -1x = 0 + -54
-1x = 0 + -54

Combine like terms: 0 + -54 = -54
-1x = -54

Divide each side by '-1'.
x = 54

Simplifying
x = 54
Solution
x = {-56, 54}