=x^2+22x+72

Solution for =x^2+22x+72 equation:

Simplifying
0 = x2 + 22x + 72

Reorder the terms:
0 = 72 + 22x + x2

Solving
0 = 72 + 22x + x2

Solving for variable 'x'.

Combine like terms: 0 + -72 = -72
-72 + -22x + -1x2 = 72 + 22x + x2 + -72 + -22x + -1x2

Reorder the terms:
-72 + -22x + -1x2 = 72 + -72 + 22x + -22x + x2 + -1x2

Combine like terms: 72 + -72 = 0
-72 + -22x + -1x2 = 0 + 22x + -22x + x2 + -1x2
-72 + -22x + -1x2 = 22x + -22x + x2 + -1x2

Combine like terms: 22x + -22x = 0
-72 + -22x + -1x2 = 0 + x2 + -1x2
-72 + -22x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-72 + -22x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(72 + 22x + x2) = 0

Factor a trinomial.
-1((18 + x)(4 + x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 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 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
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}