2a^2b^2+2a^2-2ab^2-4a=0

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Solution for 2a^2b^2+2a^2-2ab^2-4a=0 equation:


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

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

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

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-2 + -1b2 + a + ab2) = 0

Ignore the factor 2.

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 '(-2 + -1b2 + a + ab2)' equal to zero and attempt to solve: Simplifying -2 + -1b2 + a + ab2 = 0 Reorder the terms: -2 + a + ab2 + -1b2 = 0 Solving -2 + a + ab2 + -1b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + a + ab2 + 2 + -1b2 = 0 + 2 Reorder the terms: -2 + 2 + a + ab2 + -1b2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + a + ab2 + -1b2 = 0 + 2 a + ab2 + -1b2 = 0 + 2 Combine like terms: 0 + 2 = 2 a + ab2 + -1b2 = 2 Add 'b2' to each side of the equation. a + ab2 + -1b2 + b2 = 2 + b2 Combine like terms: -1b2 + b2 = 0 a + ab2 + 0 = 2 + b2 a + ab2 = 2 + b2 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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