(1-5a)(1-8a)=

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

Simplifying
(1 + -5a)(1 + -8a) = 0

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

Combine like terms: -8a + -5a = -13a
(1 + -13a + 40a2) = 0

Solving
1 + -13a + 40a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + -8a)(1 + -5a) = 0

Subproblem 1
Set the factor '(1 + -8a)' equal to zero and attempt to solve:

Simplifying
1 + -8a = 0

Solving
1 + -8a = 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 + -8a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8a = 0 + -1
-8a = 0 + -1

Combine like terms: 0 + -1 = -1
-8a = -1

Divide each side by '-8'.
a = 0.125

Simplifying
a = 0.125
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 = {0.125, 0.2}