(5a-1)(6a-3)=

Solution for (5a-1)(6a-3)= equation:

Simplifying
(5a + -1)(6a + -3) = 0

Reorder the terms:
(-1 + 5a)(6a + -3) = 0

Reorder the terms:
(-1 + 5a)(-3 + 6a) = 0

Multiply (-1 + 5a) * (-3 + 6a)
(-1(-3 + 6a) + 5a * (-3 + 6a)) = 0
((-3 * -1 + 6a * -1) + 5a * (-3 + 6a)) = 0
((3 + -6a) + 5a * (-3 + 6a)) = 0
(3 + -6a + (-3 * 5a + 6a * 5a)) = 0
(3 + -6a + (-15a + 30a2)) = 0

Combine like terms: -6a + -15a = -21a
(3 + -21a + 30a2) = 0

Solving
3 + -21a + 30a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -7a + 10a2) = 0

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

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

Simplifying
1 + -5a = 0

Solving
1 + -5a = 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 + -5a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5a = 0 + -1
-5a = 0 + -1

Combine like terms: 0 + -1 = -1
-5a = -1

Divide each side by '-5'.
a = 0.2

Simplifying
a = 0.2
Subproblem 2
Set the factor '(1 + -2a)' equal to zero and attempt to solve:

Simplifying
1 + -2a = 0

Solving
1 + -2a = 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 + -2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2a = 0 + -1
-2a = 0 + -1

Combine like terms: 0 + -1 = -1
-2a = -1

Divide each side by '-2'.
a = 0.5

Simplifying
a = 0.5
Solution
a = {0.2, 0.5}