(a^2b^2+2a^2)-(2ab^2+4a)=

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Solution for (a^2b^2+2a^2)-(2ab^2+4a)= equation: 


Simplifying
(a2b2 + 2a2) + -1(2ab2 + 4a) = 0

Reorder the terms:
(2a2 + a2b2) + -1(2ab2 + 4a) = 0

Remove parenthesis around (2a2 + a2b2)
2a2 + a2b2 + -1(2ab2 + 4a) = 0

Reorder the terms:
2a2 + a2b2 + -1(4a + 2ab2) = 0
2a2 + a2b2 + (4a * -1 + 2ab2 * -1) = 0
2a2 + a2b2 + (-4a + -2ab2) = 0

Reorder the terms:
-4a + -2ab2 + 2a2 + a2b2 = 0

Solving
-4a + -2ab2 + 2a2 + a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-4 + -2b2 + 2a + ab2) = 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 '(-4 + -2b2 + 2a + ab2)' equal to zero and attempt to solve:

Simplifying
-4 + -2b2 + 2a + ab2 = 0

Reorder the terms:
-4 + 2a + ab2 + -2b2 = 0

Solving
-4 + 2a + ab2 + -2b2 = 0

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

Add '4' to each side of the equation.
-4 + 2a + ab2 + 4 + -2b2 = 0 + 4

Reorder the terms:
-4 + 4 + 2a + ab2 + -2b2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2a + ab2 + -2b2 = 0 + 4
2a + ab2 + -2b2 = 0 + 4

Combine like terms: 0 + 4 = 4
2a + ab2 + -2b2 = 4

Add '2b2' to each side of the equation.
2a + ab2 + -2b2 + 2b2 = 4 + 2b2

Combine like terms: -2b2 + 2b2 = 0
2a + ab2 + 0 = 4 + 2b2
2a + ab2 = 4 + 2b2

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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