d^2ca=b^4c^3a^2

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Solution for d^2ca=b^4c^3a^2 equation: 


Simplifying
d2ca = b4c3a2

Solving
acd2 = a2b4c3

Solving for variable 'a'.

Combine like terms: a2b4c3 + -1a2b4c3 = 0
acd2 + -1a2b4c3 = 0

Factor out the Greatest Common Factor (GCF), 'ac'.
ac(d2 + -1ab4c2) = 0


Subproblem 1
Set the factor 'ac' equal to zero and attempt to solve:

Simplifying
ac = 0

Solving
ac = 0

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

Simplifying
ac = 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 '(d2 + -1ab4c2)' equal to zero and attempt to solve:

Simplifying
d2 + -1ab4c2 = 0

Reorder the terms:
-1ab4c2 + d2 = 0

Solving
-1ab4c2 + d2 = 0

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

Add '-1d2' to each side of the equation.
-1ab4c2 + d2 + -1d2 = 0 + -1d2

Combine like terms: d2 + -1d2 = 0
-1ab4c2 + 0 = 0 + -1d2
-1ab4c2 = 0 + -1d2
Remove the zero:
-1ab4c2 = -1d2

Divide each side by '-1b4c2'.
a = b-4c-2d2

Simplifying
a = b-4c-2d2
Solution
a = {b-4c-2d2}

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