x^2+4x+6=2

Solution for x^2+4x+6=2 equation:

Simplifying
x2 + 4x + 6 = 2

Reorder the terms:
6 + 4x + x2 = 2

Solving
6 + 4x + x2 = 2

Solving for variable 'x'.

Reorder the terms:
6 + -2 + 4x + x2 = 2 + -2

Combine like terms: 6 + -2 = 4
4 + 4x + x2 = 2 + -2

Combine like terms: 2 + -2 = 0
4 + 4x + x2 = 0

Factor a trinomial.
(2 + x)(2 + x) = 0

Subproblem 1
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
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 = {-2, -2}