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

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

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

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

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

Multiply (-3 + 4a) * (-5 + 5a)
(-3(-5 + 5a) + 4a * (-5 + 5a)) = 0
((-5 * -3 + 5a * -3) + 4a * (-5 + 5a)) = 0
((15 + -15a) + 4a * (-5 + 5a)) = 0
(15 + -15a + (-5 * 4a + 5a * 4a)) = 0
(15 + -15a + (-20a + 20a2)) = 0

Combine like terms: -15a + -20a = -35a
(15 + -35a + 20a2) = 0

Solving
15 + -35a + 20a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -7a + 4a2) = 0

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

Ignore the factor 5.
Subproblem 1
Set the factor '(3 + -4a)' equal to zero and attempt to solve:

Simplifying
3 + -4a = 0

Solving
3 + -4a = 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 + -4a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4a = 0 + -3
-4a = 0 + -3

Combine like terms: 0 + -3 = -3
-4a = -3

Divide each side by '-4'.
a = 0.75

Simplifying
a = 0.75
Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

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

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

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

Divide each side by '-1'.
a = 1

Simplifying
a = 1
Solution
a = {0.75, 1}