a^4p+a^3q=

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Solution for a^4p+a^3q= equation: 


Simplifying
a4p + a3q = 0

Reorder the terms:
a3q + a4p = 0

Solving
a3q + a4p = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a3'.
a3(q + ap) = 0


Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve:

Simplifying
a3 = 0

Solving
a3 = 0

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

Simplifying
a3 = 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 '(q + ap)' equal to zero and attempt to solve:

Simplifying
q + ap = 0

Reorder the terms:
ap + q = 0

Solving
ap + q = 0

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

Add '-1q' to each side of the equation.
ap + q + -1q = 0 + -1q

Combine like terms: q + -1q = 0
ap + 0 = 0 + -1q
ap = 0 + -1q
Remove the zero:
ap = -1q

Divide each side by 'p'.
a = -1p-1q

Simplifying
a = -1p-1q
Solution
a = {-1p-1q}

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