(4a+2)+(-a^2-3a-2)=

Solution for (4a+2)+(-a^2-3a-2)= equation:

Simplifying
(4a + 2) + (-1a2 + -3a + -2) = 0

Reorder the terms:
(2 + 4a) + (-1a2 + -3a + -2) = 0

Remove parenthesis around (2 + 4a)
2 + 4a + (-1a2 + -3a + -2) = 0

Reorder the terms:
2 + 4a + (-2 + -3a + -1a2) = 0

Remove parenthesis around (-2 + -3a + -1a2)
2 + 4a + -2 + -3a + -1a2 = 0

Reorder the terms:
2 + -2 + 4a + -3a + -1a2 = 0

Combine like terms: 2 + -2 = 0
0 + 4a + -3a + -1a2 = 0
4a + -3a + -1a2 = 0

Combine like terms: 4a + -3a = 1a
1a + -1a2 = 0

Solving
1a + -1a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + -1a) = 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 '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1

Combine like terms: 0 + -1 = -1
-1a = -1

Divide each side by '-1'.
a = 1

Simplifying
a = 1
Solution
a = {0, 1}