-2a(b+3+2a)=

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

Simplifying
-2a(b + 3 + 2a) = 0

Reorder the terms:
-2a(3 + 2a + b) = 0
(3 * -2a + 2a * -2a + b * -2a) = 0

Reorder the terms:
(-6a + -2ab + -4a2) = 0
(-6a + -2ab + -4a2) = 0

Solving
-6a + -2ab + -4a2 = 0

Solving for variable 'a'.

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

Ignore the factor -2.
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 '(3 + b + 2a)' equal to zero and attempt to solve:

Simplifying
3 + b + 2a = 0

Reorder the terms:
3 + 2a + b = 0

Solving
3 + 2a + b = 0

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

Add '-3' to each side of the equation.
3 + 2a + -3 + b = 0 + -3

Reorder the terms:
3 + -3 + 2a + b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2a + b = 0 + -3
2a + b = 0 + -3

Combine like terms: 0 + -3 = -3
2a + b = -3

Add '-1b' to each side of the equation.
2a + b + -1b = -3 + -1b

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

Divide each side by '2'.
a = -1.5 + -0.5b

Simplifying
a = -1.5 + -0.5b
Solution
a = {0, -1.5 + -0.5b}