ak^2-11ak+18a=

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Solution for ak^2-11ak+18a= equation: 


Simplifying
ak2 + -11ak + 18a = 0

Reorder the terms:
18a + -11ak + ak2 = 0

Solving
18a + -11ak + ak2 = 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), 'a'.
a(18 + -11k + k2) = 0

Factor a trinomial.
a((2 + -1k)(9 + -1k)) = 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 '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Add 'k' to each side of the equation.
-1k + k = -2 + k

Combine like terms: -1k + k = 0
0 = -2 + k

Simplifying
0 = -2 + k

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 '(9 + -1k)' equal to zero and attempt to solve:

Simplifying
9 + -1k = 0

Solving
9 + -1k = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1k = 0 + -9
-1k = 0 + -9

Combine like terms: 0 + -9 = -9
-1k = -9

Add 'k' to each side of the equation.
-1k + k = -9 + k

Combine like terms: -1k + k = 0
0 = -9 + k

Simplifying
0 = -9 + k

The solution to this equation could not be determined.

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

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