9a^2b+ab^2-6ab=

Solution for 9a^2b+ab^2-6ab= equation:

Simplifying
9a2b + ab2 + -6ab = 0

Reorder the terms:
-6ab + ab2 + 9a2b = 0

Solving
-6ab + ab2 + 9a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(-6 + b + 9a) = 0

Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-6 + b + 9a)' equal to zero and attempt to solve:

Simplifying
-6 + b + 9a = 0

Reorder the terms:
-6 + 9a + b = 0

Solving
-6 + 9a + b = 0

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

Add '6' to each side of the equation.
-6 + 9a + 6 + b = 0 + 6

Reorder the terms:
-6 + 6 + 9a + b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 9a + b = 0 + 6
9a + b = 0 + 6

Combine like terms: 0 + 6 = 6
9a + b = 6

Add '-1b' to each side of the equation.
9a + b + -1b = 6 + -1b

Combine like terms: b + -1b = 0
9a + 0 = 6 + -1b
9a = 6 + -1b

Divide each side by '9'.
a = 0.6666666667 + -0.1111111111b

Simplifying
a = 0.6666666667 + -0.1111111111b
Solution
a = {0.6666666667 + -0.1111111111b}