(a^2)=(2ab^3)

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Solution for (a^2)=(2ab^3) equation: 


Simplifying
(a2) = (2ab3)
a2 = (2ab3)

Solving
a2 = (2ab3)

Solving for variable 'a'.

Reorder the terms:
(-2ab3) + a2 = (2ab3) + (-2ab3)

Combine like terms: (2ab3) + (-2ab3) = 0
(-2ab3) + a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a((-2b3) + a) = 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 '((-2b3) + a)' equal to zero and attempt to solve:

Simplifying
(-2b3) + a = 0

Reorder the terms:
a + (-2b3) = 0

Solving
a + (-2b3) = 0

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

Add '(2b3)' to each side of the equation.
a + (-2b3) + (2b3) = 0 + (2b3)

Combine like terms: (-2b3) + (2b3) = 0
a + 0 = 0 + (2b3)
a = 0 + (2b3)
Remove the zero:
a = (2b3)

Simplifying
a = (2b3)
Solution
a = {0, (2b3)}

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