X^2+14X-576=0

Solution for X^2+14X-576=0 equation:

Simplifying
X2 + 14X + -576 = 0

Reorder the terms:
-576 + 14X + X2 = 0

Solving
-576 + 14X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-32 + -1X)(18 + -1X) = 0

Subproblem 1
Set the factor '(-32 + -1X)' equal to zero and attempt to solve:

Simplifying
-32 + -1X = 0

Solving
-32 + -1X = 0

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

Add '32' to each side of the equation.
-32 + 32 + -1X = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -1X = 0 + 32
-1X = 0 + 32

Combine like terms: 0 + 32 = 32
-1X = 32

Divide each side by '-1'.
X = -32

Simplifying
X = -32
Subproblem 2
Set the factor '(18 + -1X)' equal to zero and attempt to solve:

Simplifying
18 + -1X = 0

Solving
18 + -1X = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1X = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1X = 0 + -18
-1X = 0 + -18

Combine like terms: 0 + -18 = -18
-1X = -18

Divide each side by '-1'.
X = 18

Simplifying
X = 18
Solution
X = {-32, 18}