4ab+2a^2b+4ab^2+8b^2=0

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Solution for 4ab+2a^2b+4ab^2+8b^2=0 equation:


Simplifying
4ab + 2a2b + 4ab2 + 8b2 = 0

Reorder the terms:
4ab + 4ab2 + 2a2b + 8b2 = 0

Solving
4ab + 4ab2 + 2a2b + 8b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(2a + 2ab + a2 + 4b) = 0

Ignore the factor 2.

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 '(2a + 2ab + a2 + 4b)' equal to zero and attempt to solve: Simplifying 2a + 2ab + a2 + 4b = 0 Solving 2a + 2ab + a2 + 4b = 0 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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