5a(4b-3)-2a(6+b)=

Solution for 5a(4b-3)-2a(6+b)= equation:

Simplifying
5a(4b + -3) + -2a(6 + b) = 0

Reorder the terms:
5a(-3 + 4b) + -2a(6 + b) = 0
(-3 * 5a + 4b * 5a) + -2a(6 + b) = 0
(-15a + 20ab) + -2a(6 + b) = 0
-15a + 20ab + (6 * -2a + b * -2a) = 0
-15a + 20ab + (-12a + -2ab) = 0

Reorder the terms:
-15a + -12a + 20ab + -2ab = 0

Combine like terms: -15a + -12a = -27a
-27a + 20ab + -2ab = 0

Combine like terms: 20ab + -2ab = 18ab
-27a + 18ab = 0

Solving
-27a + 18ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '9a'.
9a(-3 + 2b) = 0

Ignore the factor 9.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(-3 + 2b)' equal to zero and attempt to solve:

Simplifying
-3 + 2b = 0

Solving
-3 + 2b = 0

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

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

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

Combine like terms: 0 + 3 = 3
2b = 3

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

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

Simplifying
0 = 3 + -2b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}