5*a*a*b*b-4ab-(2*a*a-5ab)2*a*a*a=

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Solution for 5*a*a*b*b-4ab-(2*a*a-5ab)2*a*a*a= equation: 


Simplifying
5a * a * b * b + -4ab + -1(2a * a + -5ab) * 2a * a * a = 0

Multiply a * a
5a2 * b * b + -4ab + -1(2a * a + -5ab) * 2a * a * a = 0

Multiply a2 * b
5a2b * b + -4ab + -1(2a * a + -5ab) * 2a * a * a = 0

Multiply a2b * b
5a2b2 + -4ab + -1(2a * a + -5ab) * 2a * a * a = 0

Multiply a * a
5a2b2 + -4ab + -1(2a2 + -5ab) * 2a * a * a = 0

Reorder the terms:
5a2b2 + -4ab + -1(-5ab + 2a2) * 2a * a * a = 0

Reorder the terms for easier multiplication:
5a2b2 + -4ab + -1 * 2a * a * a(-5ab + 2a2) = 0

Multiply -1 * 2
5a2b2 + -4ab + -2a * a * a(-5ab + 2a2) = 0

Multiply a * a
5a2b2 + -4ab + -2a2 * a(-5ab + 2a2) = 0

Multiply a2 * a
5a2b2 + -4ab + -2a3(-5ab + 2a2) = 0
5a2b2 + -4ab + (-5ab * -2a3 + 2a2 * -2a3) = 0
5a2b2 + -4ab + (10a4b + -4a5) = 0

Reorder the terms:
-4ab + 5a2b2 + 10a4b + -4a5 = 0

Solving
-4ab + 5a2b2 + 10a4b + -4a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-4b + 5ab2 + 10a3b + -4a4) = 0


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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-4b + 5ab2 + 10a3b + -4a4)' equal to zero and attempt to solve:

Simplifying
-4b + 5ab2 + 10a3b + -4a4 = 0

Reorder the terms:
5ab2 + 10a3b + -4a4 + -4b = 0

Solving
5ab2 + 10a3b + -4a4 + -4b = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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