2a(a+4b)=

Solution for 2a(a+4b)= equation:

Simplifying
2a(a + 4b) = 0
(a * 2a + 4b * 2a) = 0

Reorder the terms:
(8ab + 2a2) = 0
(8ab + 2a2) = 0

Solving
8ab + 2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(4b + a) = 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 '(4b + a)' equal to zero and attempt to solve:

Simplifying
4b + a = 0

Reorder the terms:
a + 4b = 0

Solving
a + 4b = 0

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

Add '-4b' to each side of the equation.
a + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
a + 0 = 0 + -4b
a = 0 + -4b
Remove the zero:
a = -4b

Simplifying
a = -4b
Solution
a = {0, -4b}