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

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

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

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

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

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

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

Solving
24 + -54a + 30a2 = 0

Solving for variable 'a'.

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

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

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

Simplifying
4 + -5a = 0

Solving
4 + -5a = 0

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

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

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

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

Divide each side by '-5'.
a = 0.8

Simplifying
a = 0.8
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 = {0.8, 1}