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

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

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

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

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

Multiply (-3 + 3a) * (-5 + 4a)
(-3(-5 + 4a) + 3a * (-5 + 4a)) = 0
((-5 * -3 + 4a * -3) + 3a * (-5 + 4a)) = 0
((15 + -12a) + 3a * (-5 + 4a)) = 0
(15 + -12a + (-5 * 3a + 4a * 3a)) = 0
(15 + -12a + (-15a + 12a2)) = 0

Combine like terms: -12a + -15a = -27a
(15 + -27a + 12a2) = 0

Solving
15 + -27a + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -9a + 4a2) = 0

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

Ignore the factor 3.
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}