0=x^2+14x-576

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

Simplifying
0 = x2 + 14x + -576

Reorder the terms:
0 = -576 + 14x + x2

Solving
0 = -576 + 14x + x2

Solving for variable 'x'.

Combine like terms: 0 + 576 = 576
576 + -14x + -1x2 = -576 + 14x + x2 + 576 + -14x + -1x2

Reorder the terms:
576 + -14x + -1x2 = -576 + 576 + 14x + -14x + x2 + -1x2

Combine like terms: -576 + 576 = 0
576 + -14x + -1x2 = 0 + 14x + -14x + x2 + -1x2
576 + -14x + -1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
576 + -14x + -1x2 = 0 + x2 + -1x2
576 + -14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
576 + -14x + -1x2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(32 + x)' equal to zero and attempt to solve:

Simplifying
32 + x = 0

Solving
32 + x = 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 + x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + x = 0 + -32
x = 0 + -32

Combine like terms: 0 + -32 = -32
x = -32

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