8a(1-5a)=

Solution for 8a(1-5a)= equation:

Simplifying
8a(1 + -5a) = 0
(1 * 8a + -5a * 8a) = 0
(8a + -40a2) = 0

Solving
8a + -40a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a'.
8a(1 + -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 '(1 + -5a)' equal to zero and attempt to solve:

Simplifying
1 + -5a = 0

Solving
1 + -5a = 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 + -5a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5a = 0 + -1
-5a = 0 + -1

Combine like terms: 0 + -1 = -1
-5a = -1

Divide each side by '-5'.
a = 0.2

Simplifying
a = 0.2
Solution
a = {0, 0.2}