x^2+10x-2184=0

Solution for x^2+10x-2184=0 equation:

Simplifying
x2 + 10x + -2184 = 0

Reorder the terms:
-2184 + 10x + x2 = 0

Solving
-2184 + 10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-52 + -1x)(42 + -1x) = 0

Subproblem 1
Set the factor '(-52 + -1x)' equal to zero and attempt to solve:

Simplifying
-52 + -1x = 0

Solving
-52 + -1x = 0

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

Add '52' to each side of the equation.
-52 + 52 + -1x = 0 + 52

Combine like terms: -52 + 52 = 0
0 + -1x = 0 + 52
-1x = 0 + 52

Combine like terms: 0 + 52 = 52
-1x = 52

Divide each side by '-1'.
x = -52

Simplifying
x = -52
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 = {-52, 42}