5[6a-4a(2a+2b)+8a^2]=

Solution for 5[6a-4a(2a+2b)+8a^2]= equation:

Simplifying
5[6a + -4a(2a + 2b) + 8a2] = 0
5[6a + (2a * -4a + 2b * -4a) + 8a2] = 0

Reorder the terms:
5[6a + (-8ab + -8a2) + 8a2] = 0
5[6a + (-8ab + -8a2) + 8a2] = 0

Combine like terms: -8a2 + 8a2 = 0
5[6a + -8ab + 0] = 0
5[6a + -8ab] = 0
[6a * 5 + -8ab * 5] = 0
[30a + -40ab] = 0

Solving
30a + -40ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '10a'.
10a(3 + -4b) = 0

Ignore the factor 10.
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 + -4b)' equal to zero and attempt to solve:

Simplifying
3 + -4b = 0

Solving
3 + -4b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4b = 0 + -3
-4b = 0 + -3

Combine like terms: 0 + -3 = -3
-4b = -3

Add '4b' to each side of the equation.
-4b + 4b = -3 + 4b

Combine like terms: -4b + 4b = 0
0 = -3 + 4b

Simplifying
0 = -3 + 4b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}