(4a^5b^2-9b^4)(3a^6b)=0

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Solution for (4a^5b^2-9b^4)(3a^6b)=0 equation: 


Simplifying
(4a5b2 + -9b4)(3a6b) = 0

Remove parenthesis around (3a6b)
(4a5b2 + -9b4) * 3a6b = 0

Reorder the terms for easier multiplication:
3a6b(4a5b2 + -9b4) = 0
(4a5b2 * 3a6b + -9b4 * 3a6b) = 0

Reorder the terms:
(-27a6b5 + 12a11b3) = 0
(-27a6b5 + 12a11b3) = 0

Solving
-27a6b5 + 12a11b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a6b3'.
3a6b3(-9b2 + 4a5) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'a6b3' equal to zero and attempt to solve:

Simplifying
a6b3 = 0

Solving
a6b3 = 0

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

Simplifying
a6b3 = 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 '(-9b2 + 4a5)' equal to zero and attempt to solve:

Simplifying
-9b2 + 4a5 = 0

Reorder the terms:
4a5 + -9b2 = 0

Solving
4a5 + -9b2 = 0

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

Add '9b2' to each side of the equation.
4a5 + -9b2 + 9b2 = 0 + 9b2

Combine like terms: -9b2 + 9b2 = 0
4a5 + 0 = 0 + 9b2
4a5 = 0 + 9b2
Remove the zero:
4a5 = 9b2

Divide each side by '4'.
a5 = 2.25b2

Simplifying
a5 = 2.25b2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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