=x^2-14x-72

Solution for =x^2-14x-72 equation:

Simplifying
0 = x2 + -14x + -72

Reorder the terms:
0 = -72 + -14x + x2

Solving
0 = -72 + -14x + x2

Solving for variable 'x'.

Combine like terms: 0 + 72 = 72
72 + 14x + -1x2 = -72 + -14x + x2 + 72 + 14x + -1x2

Reorder the terms:
72 + 14x + -1x2 = -72 + 72 + -14x + 14x + x2 + -1x2

Combine like terms: -72 + 72 = 0
72 + 14x + -1x2 = 0 + -14x + 14x + x2 + -1x2
72 + 14x + -1x2 = -14x + 14x + x2 + -1x2

Combine like terms: -14x + 14x = 0
72 + 14x + -1x2 = 0 + x2 + -1x2
72 + 14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
72 + 14x + -1x2 = 0

Factor a trinomial.
(18 + -1x)(4 + 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {18, -4}