(4a-1)(5a-3)=

Solution for (4a-1)(5a-3)= equation:

Simplifying
(4a + -1)(5a + -3) = 0

Reorder the terms:
(-1 + 4a)(5a + -3) = 0

Reorder the terms:
(-1 + 4a)(-3 + 5a) = 0

Multiply (-1 + 4a) * (-3 + 5a)
(-1(-3 + 5a) + 4a * (-3 + 5a)) = 0
((-3 * -1 + 5a * -1) + 4a * (-3 + 5a)) = 0
((3 + -5a) + 4a * (-3 + 5a)) = 0
(3 + -5a + (-3 * 4a + 5a * 4a)) = 0
(3 + -5a + (-12a + 20a2)) = 0

Combine like terms: -5a + -12a = -17a
(3 + -17a + 20a2) = 0

Solving
3 + -17a + 20a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + -4a)(3 + -5a) = 0

Subproblem 1
Set the factor '(1 + -4a)' equal to zero and attempt to solve:

Simplifying
1 + -4a = 0

Solving
1 + -4a = 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 + -4a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4a = 0 + -1
-4a = 0 + -1

Combine like terms: 0 + -1 = -1
-4a = -1

Divide each side by '-4'.
a = 0.25

Simplifying
a = 0.25
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 = {0.25, 0.6}