6ab+3a-2a^2=0

Solution for 6ab+3a-2a^2=0 equation:

Simplifying
6ab + 3a + -2a2 = 0

Reorder the terms:
3a + 6ab + -2a2 = 0

Solving
3a + 6ab + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(3 + 6b + -2a) = 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 '(3 + 6b + -2a)' equal to zero and attempt to solve:

Simplifying
3 + 6b + -2a = 0

Reorder the terms:
3 + -2a + 6b = 0

Solving
3 + -2a + 6b = 0

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

Add '-3' to each side of the equation.
3 + -2a + -3 + 6b = 0 + -3

Reorder the terms:
3 + -3 + -2a + 6b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2a + 6b = 0 + -3
-2a + 6b = 0 + -3

Combine like terms: 0 + -3 = -3
-2a + 6b = -3

Add '-6b' to each side of the equation.
-2a + 6b + -6b = -3 + -6b

Combine like terms: 6b + -6b = 0
-2a + 0 = -3 + -6b
-2a = -3 + -6b

Divide each side by '-2'.
a = 1.5 + 3b

Simplifying
a = 1.5 + 3b
Solution
a = {0, 1.5 + 3b}