(2a+2)(2a+1)=

Solution for (2a+2)(2a+1)= equation:

Simplifying
(2a + 2)(2a + 1) = 0

Reorder the terms:
(2 + 2a)(2a + 1) = 0

Reorder the terms:
(2 + 2a)(1 + 2a) = 0

Multiply (2 + 2a) * (1 + 2a)
(2(1 + 2a) + 2a * (1 + 2a)) = 0
((1 * 2 + 2a * 2) + 2a * (1 + 2a)) = 0
((2 + 4a) + 2a * (1 + 2a)) = 0
(2 + 4a + (1 * 2a + 2a * 2a)) = 0
(2 + 4a + (2a + 4a2)) = 0

Combine like terms: 4a + 2a = 6a
(2 + 6a + 4a2) = 0

Solving
2 + 6a + 4a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 3a + 2a2) = 0

Factor a trinomial.
2((1 + a)(1 + 2a)) = 0

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

Simplifying
1 + a = 0

Solving
1 + a = 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 + a = 0 + -1

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

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

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

Simplifying
1 + 2a = 0

Solving
1 + 2a = 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 + 2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2a = 0 + -1
2a = 0 + -1

Combine like terms: 0 + -1 = -1
2a = -1

Divide each side by '2'.
a = -0.5

Simplifying
a = -0.5
Solution
a = {-1, -0.5}