a^4b+a^2b^3=0

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Solution for a^4b+a^2b^3=0 equation:


Simplifying
a4b + a2b3 = 0

Reorder the terms:
a2b3 + a4b = 0

Solving
a2b3 + a4b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2b'.
a2b(b2 + a2) = 0

Subproblem 1

Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 0 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 '(b2 + a2)' equal to zero and attempt to solve: Simplifying b2 + a2 = 0 Reorder the terms: a2 + b2 = 0 Solving a2 + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. a2 + b2 + -1b2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 a2 + 0 = 0 + -1b2 a2 = 0 + -1b2 Remove the zero: a2 = -1b2 Simplifying a2 = -1b2 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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