(a^4by-c^2)(a^4by-c^2)=

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Solution for (a^4by-c^2)(a^4by-c^2)= equation: 


Simplifying
(a4by + -1c2)(a4by + -1c2) = 0

Multiply (a4by + -1c2) * (a4by + -1c2)
(a4by(a4by + -1c2) + -1c2 * (a4by + -1c2)) = 0
((a4by * a4by + -1c2 * a4by) + -1c2 * (a4by + -1c2)) = 0

Reorder the terms:
((-1a4bc2y + a8b2y2) + -1c2 * (a4by + -1c2)) = 0
((-1a4bc2y + a8b2y2) + -1c2 * (a4by + -1c2)) = 0
(-1a4bc2y + a8b2y2 + (a4by * -1c2 + -1c2 * -1c2)) = 0
(-1a4bc2y + a8b2y2 + (-1a4bc2y + 1c4)) = 0

Reorder the terms:
(-1a4bc2y + -1a4bc2y + a8b2y2 + 1c4) = 0

Combine like terms: -1a4bc2y + -1a4bc2y = -2a4bc2y
(-2a4bc2y + a8b2y2 + 1c4) = 0

Solving
-2a4bc2y + a8b2y2 + 1c4 = 0

Solving for variable 'a'.

Factor a trinomial.
(a4by + -1c2)(a4by + -1c2) = 0


Subproblem 1
Set the factor '(a4by + -1c2)' equal to zero and attempt to solve:

Simplifying
a4by + -1c2 = 0

Solving
a4by + -1c2 = 0

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

Add 'c2' to each side of the equation.
a4by + -1c2 + c2 = 0 + c2

Combine like terms: -1c2 + c2 = 0
a4by + 0 = 0 + c2
a4by = 0 + c2
Remove the zero:
a4by = c2

Divide each side by 'by'.
a4 = b-1c2y-1

Simplifying
a4 = b-1c2y-1

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 '(a4by + -1c2)' equal to zero and attempt to solve:

Simplifying
a4by + -1c2 = 0

Solving
a4by + -1c2 = 0

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

Add 'c2' to each side of the equation.
a4by + -1c2 + c2 = 0 + c2

Combine like terms: -1c2 + c2 = 0
a4by + 0 = 0 + c2
a4by = 0 + c2
Remove the zero:
a4by = c2

Divide each side by 'by'.
a4 = b-1c2y-1

Simplifying
a4 = b-1c2y-1

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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