(4a)(5a-3)=

Solution for (4a)(5a-3)= equation:

Simplifying
(4a)(5a + -3) = 0

Remove parenthesis around (4a)
4a(5a + -3) = 0

Reorder the terms:
4a(-3 + 5a) = 0
(-3 * 4a + 5a * 4a) = 0
(-12a + 20a2) = 0

Solving
-12a + 20a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-3 + 5a) = 0

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

Simplifying
-3 + 5a = 0

Solving
-3 + 5a = 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 + 5a = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5a = 0 + 3
5a = 0 + 3

Combine like terms: 0 + 3 = 3
5a = 3

Divide each side by '5'.
a = 0.6

Simplifying
a = 0.6
Solution
a = {0, 0.6}