x^2+18x+65=9

Solution for x^2+18x+65=9 equation:

Simplifying
x2 + 18x + 65 = 9

Reorder the terms:
65 + 18x + x2 = 9

Solving
65 + 18x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
65 + -9 + 18x + x2 = 9 + -9

Combine like terms: 65 + -9 = 56
56 + 18x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
56 + 18x + x2 = 0

Factor a trinomial.
(14 + x)(4 + x) = 0

Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
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 = {-14, -4}