(4a-5)(6a-6)=

Solution for (4a-5)(6a-6)= equation:

Simplifying
(4a + -5)(6a + -6) = 0

Reorder the terms:
(-5 + 4a)(6a + -6) = 0

Reorder the terms:
(-5 + 4a)(-6 + 6a) = 0

Multiply (-5 + 4a) * (-6 + 6a)
(-5(-6 + 6a) + 4a * (-6 + 6a)) = 0
((-6 * -5 + 6a * -5) + 4a * (-6 + 6a)) = 0
((30 + -30a) + 4a * (-6 + 6a)) = 0
(30 + -30a + (-6 * 4a + 6a * 4a)) = 0
(30 + -30a + (-24a + 24a2)) = 0

Combine like terms: -30a + -24a = -54a
(30 + -54a + 24a2) = 0

Solving
30 + -54a + 24a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6'.
6(5 + -9a + 4a2) = 0

Factor a trinomial.
6((1 + -1a)(5 + -4a)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + -4a)' equal to zero and attempt to solve:

Simplifying
5 + -4a = 0

Solving
5 + -4a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -4a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4a = 0 + -5
-4a = 0 + -5

Combine like terms: 0 + -5 = -5
-4a = -5

Divide each side by '-4'.
a = 1.25

Simplifying
a = 1.25
Solution
a = {1, 1.25}