4a(10a-8)=

Solution for 4a(10a-8)= equation:

Simplifying
4a(10a + -8) = 0

Reorder the terms:
4a(-8 + 10a) = 0
(-8 * 4a + 10a * 4a) = 0
(-32a + 40a2) = 0

Solving
-32a + 40a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a'.
8a(-4 + 5a) = 0

Ignore the factor 8.
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 '(-4 + 5a)' equal to zero and attempt to solve:

Simplifying
-4 + 5a = 0

Solving
-4 + 5a = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5a = 0 + 4
5a = 0 + 4

Combine like terms: 0 + 4 = 4
5a = 4

Divide each side by '5'.
a = 0.8

Simplifying
a = 0.8
Solution
a = {0, 0.8}