3a^2-5ab-2ab=0

Solution for 3a^2-5ab-2ab=0 equation:

Simplifying
3a2 + -5ab + -2ab = 0

Reorder the terms:
-5ab + -2ab + 3a2 = 0

Combine like terms: -5ab + -2ab = -7ab
-7ab + 3a2 = 0

Solving
-7ab + 3a2 = 0

Solving for variable 'a'.

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

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 '(-7b + 3a)' equal to zero and attempt to solve:

Simplifying
-7b + 3a = 0

Reorder the terms:
3a + -7b = 0

Solving
3a + -7b = 0

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

Add '7b' to each side of the equation.
3a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
3a + 0 = 0 + 7b
3a = 0 + 7b
Remove the zero:
3a = 7b

Divide each side by '3'.
a = 2.333333333b

Simplifying
a = 2.333333333b
Solution
a = {0, 2.333333333b}