(5a^5-a^2)+(a^5+4a^2-3)=0

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Solution for (5a^5-a^2)+(a^5+4a^2-3)=0 equation: 


Simplifying
(5a5 + -1a2) + (a5 + 4a2 + -3) = 0

Reorder the terms:
(-1a2 + 5a5) + (a5 + 4a2 + -3) = 0

Remove parenthesis around (-1a2 + 5a5)
-1a2 + 5a5 + (a5 + 4a2 + -3) = 0

Reorder the terms:
-1a2 + 5a5 + (-3 + 4a2 + a5) = 0

Remove parenthesis around (-3 + 4a2 + a5)
-1a2 + 5a5 + -3 + 4a2 + a5 = 0

Reorder the terms:
-3 + -1a2 + 4a2 + 5a5 + a5 = 0

Combine like terms: -1a2 + 4a2 = 3a2
-3 + 3a2 + 5a5 + a5 = 0

Combine like terms: 5a5 + a5 = 6a5
-3 + 3a2 + 6a5 = 0

Solving
-3 + 3a2 + 6a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + a2 + 2a5) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1 + a2 + 2a5)' equal to zero and attempt to solve:

Simplifying
-1 + a2 + 2a5 = 0

Solving
-1 + a2 + 2a5 = 0

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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