8ab^2-30ab+18a=

Solution for 8ab^2-30ab+18a= equation:

Simplifying
8ab2 + -30ab + 18a = 0

Reorder the terms:
18a + -30ab + 8ab2 = 0

Solving
18a + -30ab + 8ab2 = 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), '2a'.
2a(9 + -15b + 4b2) = 0

Factor a trinomial.
2a((3 + -4b)(3 + -1b)) = 0

Ignore the factor 2.
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 + -4b)' equal to zero and attempt to solve:

Simplifying
3 + -4b = 0

Solving
3 + -4b = 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 + -4b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4b = 0 + -3
-4b = 0 + -3

Combine like terms: 0 + -3 = -3
-4b = -3

Add '4b' to each side of the equation.
-4b + 4b = -3 + 4b

Combine like terms: -4b + 4b = 0
0 = -3 + 4b

Simplifying
0 = -3 + 4b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 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 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Add 'b' to each side of the equation.
-1b + b = -3 + b

Combine like terms: -1b + b = 0
0 = -3 + b

Simplifying
0 = -3 + b

The solution to this equation could not be determined.

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