(12a^5-6a-10a^3)+(10a-2a^5-14a^4)=

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Solution for (12a^5-6a-10a^3)+(10a-2a^5-14a^4)= equation: 


Simplifying
(12a5 + -6a + -10a3) + (10a + -2a5 + -14a4) = 0

Reorder the terms:
(-6a + -10a3 + 12a5) + (10a + -2a5 + -14a4) = 0

Remove parenthesis around (-6a + -10a3 + 12a5)
-6a + -10a3 + 12a5 + (10a + -2a5 + -14a4) = 0

Reorder the terms:
-6a + -10a3 + 12a5 + (10a + -14a4 + -2a5) = 0

Remove parenthesis around (10a + -14a4 + -2a5)
-6a + -10a3 + 12a5 + 10a + -14a4 + -2a5 = 0

Reorder the terms:
-6a + 10a + -10a3 + -14a4 + 12a5 + -2a5 = 0

Combine like terms: -6a + 10a = 4a
4a + -10a3 + -14a4 + 12a5 + -2a5 = 0

Combine like terms: 12a5 + -2a5 = 10a5
4a + -10a3 + -14a4 + 10a5 = 0

Solving
4a + -10a3 + -14a4 + 10a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(2 + -5a2 + -7a3 + 5a4) = 0

Ignore the factor 2.

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 '(2 + -5a2 + -7a3 + 5a4)' equal to zero and attempt to solve:

Simplifying
2 + -5a2 + -7a3 + 5a4 = 0

Solving
2 + -5a2 + -7a3 + 5a4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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