x^2+19x+66=6

Solution for x^2+19x+66=6 equation:

Simplifying
x2 + 19x + 66 = 6

Reorder the terms:
66 + 19x + x2 = 6

Solving
66 + 19x + x2 = 6

Solving for variable 'x'.

Reorder the terms:
66 + -6 + 19x + x2 = 6 + -6

Combine like terms: 66 + -6 = 60
60 + 19x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
60 + 19x + x2 = 0

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

Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
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 = {-15, -4}