x^2+16x+65=37

Solution for x^2+16x+65=37 equation:

Simplifying
x2 + 16x + 65 = 37

Reorder the terms:
65 + 16x + x2 = 37

Solving
65 + 16x + x2 = 37

Solving for variable 'x'.

Reorder the terms:
65 + -37 + 16x + x2 = 37 + -37

Combine like terms: 65 + -37 = 28
28 + 16x + x2 = 37 + -37

Combine like terms: 37 + -37 = 0
28 + 16x + x2 = 0

Factor a trinomial.
(14 + x)(2 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-14, -2}