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

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

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

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

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

Multiply (-5 + 4a) * (-6 + 5a)
(-5(-6 + 5a) + 4a * (-6 + 5a)) = 0
((-6 * -5 + 5a * -5) + 4a * (-6 + 5a)) = 0
((30 + -25a) + 4a * (-6 + 5a)) = 0
(30 + -25a + (-6 * 4a + 5a * 4a)) = 0
(30 + -25a + (-24a + 20a2)) = 0

Combine like terms: -25a + -24a = -49a
(30 + -49a + 20a2) = 0

Solving
30 + -49a + 20a2 = 0

Solving for variable 'a'.

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

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

Simplifying
6 + -5a = 0

Solving
6 + -5a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5a = 0 + -6
-5a = 0 + -6

Combine like terms: 0 + -6 = -6
-5a = -6

Divide each side by '-5'.
a = 1.2

Simplifying
a = 1.2
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 = {1.2, 1.25}