a^2+4a+10=6

Solution for a^2+4a+10=6 equation:

Simplifying
a2 + 4a + 10 = 6

Reorder the terms:
10 + 4a + a2 = 6

Solving
10 + 4a + a2 = 6

Solving for variable 'a'.

Reorder the terms:
10 + -6 + 4a + a2 = 6 + -6

Combine like terms: 10 + -6 = 4
4 + 4a + a2 = 6 + -6

Combine like terms: 6 + -6 = 0
4 + 4a + a2 = 0

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

Subproblem 1
Set the factor '(2 + a)' equal to zero and attempt to solve:

Simplifying
2 + a = 0

Solving
2 + a = 0

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

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

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

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

Simplifying
a = -2
Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve:

Simplifying
2 + a = 0

Solving
2 + a = 0

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

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

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

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

Simplifying
a = -2
Solution
a = {-2, -2}