a^2+16a+32=4

Solution for a^2+16a+32=4 equation:

Simplifying
a2 + 16a + 32 = 4

Reorder the terms:
32 + 16a + a2 = 4

Solving
32 + 16a + a2 = 4

Solving for variable 'a'.

Reorder the terms:
32 + -4 + 16a + a2 = 4 + -4

Combine like terms: 32 + -4 = 28
28 + 16a + a2 = 4 + -4

Combine like terms: 4 + -4 = 0
28 + 16a + a2 = 0

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

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

Simplifying
14 + a = 0

Solving
14 + a = 0

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

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

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

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

Simplifying
a = -14
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 = {-14, -2}