(3a-2)(5a-5)=

Solution for (3a-2)(5a-5)= equation:

Simplifying
(3a + -2)(5a + -5) = 0

Reorder the terms:
(-2 + 3a)(5a + -5) = 0

Reorder the terms:
(-2 + 3a)(-5 + 5a) = 0

Multiply (-2 + 3a) * (-5 + 5a)
(-2(-5 + 5a) + 3a * (-5 + 5a)) = 0
((-5 * -2 + 5a * -2) + 3a * (-5 + 5a)) = 0
((10 + -10a) + 3a * (-5 + 5a)) = 0
(10 + -10a + (-5 * 3a + 5a * 3a)) = 0
(10 + -10a + (-15a + 15a2)) = 0

Combine like terms: -10a + -15a = -25a
(10 + -25a + 15a2) = 0

Solving
10 + -25a + 15a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5'.
5(2 + -5a + 3a2) = 0

Factor a trinomial.
5((2 + -3a)(1 + -1a)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(2 + -3a)' equal to zero and attempt to solve:

Simplifying
2 + -3a = 0

Solving
2 + -3a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3a = 0 + -2
-3a = 0 + -2

Combine like terms: 0 + -2 = -2
-3a = -2

Divide each side by '-3'.
a = 0.6666666667

Simplifying
a = 0.6666666667
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 = {0.6666666667, 1}