(5a-3)(3a-1)=

Solution for (5a-3)(3a-1)= equation:

Simplifying
(5a + -3)(3a + -1) = 0

Reorder the terms:
(-3 + 5a)(3a + -1) = 0

Reorder the terms:
(-3 + 5a)(-1 + 3a) = 0

Multiply (-3 + 5a) * (-1 + 3a)
(-3(-1 + 3a) + 5a * (-1 + 3a)) = 0
((-1 * -3 + 3a * -3) + 5a * (-1 + 3a)) = 0
((3 + -9a) + 5a * (-1 + 3a)) = 0
(3 + -9a + (-1 * 5a + 3a * 5a)) = 0
(3 + -9a + (-5a + 15a2)) = 0

Combine like terms: -9a + -5a = -14a
(3 + -14a + 15a2) = 0

Solving
3 + -14a + 15a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + -3a)(3 + -5a) = 0

Subproblem 1
Set the factor '(1 + -3a)' equal to zero and attempt to solve:

Simplifying
1 + -3a = 0

Solving
1 + -3a = 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 + -3a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3a = 0 + -1
-3a = 0 + -1

Combine like terms: 0 + -1 = -1
-3a = -1

Divide each side by '-3'.
a = 0.3333333333

Simplifying
a = 0.3333333333
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 = {0.3333333333, 0.6}