20a^3x^3-45axy^2=

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Solution for 20a^3x^3-45axy^2= equation: 


Simplifying
20a3x3 + -45axy2 = 0

Reorder the terms:
-45axy2 + 20a3x3 = 0

Solving
-45axy2 + 20a3x3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ax'.
5ax(-9y2 + 4a2x2) = 0

Factor a difference between two squares.
5ax((3y + 2ax)(-3y + 2ax)) = 0

Ignore the factor 5.

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

Simplifying
ax = 0

Solving
ax = 0

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

Simplifying
ax = 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 '(3y + 2ax)' equal to zero and attempt to solve:

Simplifying
3y + 2ax = 0

Reorder the terms:
2ax + 3y = 0

Solving
2ax + 3y = 0

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

Add '-3y' to each side of the equation.
2ax + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
2ax + 0 = 0 + -3y
2ax = 0 + -3y
Remove the zero:
2ax = -3y

Divide each side by '2x'.
a = -1.5x-1y

Simplifying
a = -1.5x-1y

Subproblem 3
Set the factor '(-3y + 2ax)' equal to zero and attempt to solve:

Simplifying
-3y + 2ax = 0

Reorder the terms:
2ax + -3y = 0

Solving
2ax + -3y = 0

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

Add '3y' to each side of the equation.
2ax + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
2ax + 0 = 0 + 3y
2ax = 0 + 3y
Remove the zero:
2ax = 3y

Divide each side by '2x'.
a = 1.5x-1y

Simplifying
a = 1.5x-1y
Solution
a = {-1.5x-1y, 1.5x-1y}

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