a^2+5a+6=6

Solution for a^2+5a+6=6 equation:

Simplifying
a2 + 5a + 6 = 6

Reorder the terms:
6 + 5a + a2 = 6

Add '-6' to each side of the equation.
6 + 5a + -6 + a2 = 6 + -6

Reorder the terms:
6 + -6 + 5a + a2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 5a + a2 = 6 + -6
5a + a2 = 6 + -6

Combine like terms: 6 + -6 = 0
5a + a2 = 0

Solving
5a + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(5 + a) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(5 + a)' equal to zero and attempt to solve:

Simplifying
5 + a = 0

Solving
5 + a = 0

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

Add '-5' to each side of the equation.
5 + -5 + a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + a = 0 + -5
a = 0 + -5

Combine like terms: 0 + -5 = -5
a = -5

Simplifying
a = -5
Solution
a = {0, -5}