32a^2b+40b^3-8a^2b^2=0

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Solution for 32a^2b+40b^3-8a^2b^2=0 equation: 


Simplifying
32a2b + 40b3 + -8a2b2 = 0

Reorder the terms:
32a2b + -8a2b2 + 40b3 = 0

Solving
32a2b + -8a2b2 + 40b3 = 0

Solving for variable 'a'.

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

Add '-40b3' to each side of the equation.
32a2b + -8a2b2 + 40b3 + -40b3 = 0 + -40b3

Combine like terms: 40b3 + -40b3 = 0
32a2b + -8a2b2 + 0 = 0 + -40b3
32a2b + -8a2b2 = 0 + -40b3
Remove the zero:
32a2b + -8a2b2 = -40b3

Combine like terms: -40b3 + 40b3 = 0
32a2b + -8a2b2 + 40b3 = 0

Factor out the Greatest Common Factor (GCF), '8b'.
8b(4a2 + -1a2b + 5b2) = 0

Ignore the factor 8.

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

Simplifying
b = 0

Solving
b = 0

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

Add '-1b' to each side of the equation.
b + -1b = 0 + -1b
Remove the zero:
0 = -1b

Simplifying
0 = -1b

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 '(4a2 + -1a2b + 5b2)' equal to zero and attempt to solve:

Simplifying
4a2 + -1a2b + 5b2 = 0

Solving
4a2 + -1a2b + 5b2 = 0

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

Add '-5b2' to each side of the equation.
4a2 + -1a2b + 5b2 + -5b2 = 0 + -5b2

Combine like terms: 5b2 + -5b2 = 0
4a2 + -1a2b + 0 = 0 + -5b2
4a2 + -1a2b = 0 + -5b2
Remove the zero:
4a2 + -1a2b = -5b2

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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