3a^2-9ab+18a=

Solution for 3a^2-9ab+18a= equation:

Simplifying
3a2 + -9ab + 18a = 0

Reorder the terms:
18a + -9ab + 3a2 = 0

Solving
18a + -9ab + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(6 + -3b + a) = 0

Ignore the factor 3.
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 '(6 + -3b + a)' equal to zero and attempt to solve:

Simplifying
6 + -3b + a = 0

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

Solving
6 + a + -3b = 0

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

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

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

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

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

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

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

Simplifying
a = -6 + 3b
Solution
a = {0, -6 + 3b}