9ab-49a^3b^3=0

Solution for 9ab-49a^3b^3=0 equation:

Simplifying
9ab + -49a3b3 = 0

Solving
9ab + -49a3b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(9 + -49a2b2) = 0

Factor a difference between two squares.
ab((3 + 7ab)(3 + -7ab)) = 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 '(3 + 7ab)' equal to zero and attempt to solve:

Simplifying
3 + 7ab = 0

Solving
3 + 7ab = 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 + 7ab = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7ab = 0 + -3
7ab = 0 + -3

Combine like terms: 0 + -3 = -3
7ab = -3

Divide each side by '7b'.
a = -0.4285714286b-1

Simplifying
a = -0.4285714286b-1
Subproblem 3
Set the factor '(3 + -7ab)' equal to zero and attempt to solve:

Simplifying
3 + -7ab = 0

Solving
3 + -7ab = 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 + -7ab = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7ab = 0 + -3
-7ab = 0 + -3

Combine like terms: 0 + -3 = -3
-7ab = -3

Divide each side by '-7b'.
a = 0.4285714286b-1

Simplifying
a = 0.4285714286b-1
Solution
a = {-0.4285714286b-1, 0.4285714286b-1}