(6a^4+2a+6-a^2)-(7a-6a^3+3a^2-5a-6a-6)=

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Solution for (6a^4+2a+6-a^2)-(7a-6a^3+3a^2-5a-6a-6)= equation: 


Simplifying
(6a4 + 2a + 6 + -1a2) + -1(7a + -6a3 + 3a2 + -5a + -6a + -6) = 0

Reorder the terms:
(6 + 2a + -1a2 + 6a4) + -1(7a + -6a3 + 3a2 + -5a + -6a + -6) = 0

Remove parenthesis around (6 + 2a + -1a2 + 6a4)
6 + 2a + -1a2 + 6a4 + -1(7a + -6a3 + 3a2 + -5a + -6a + -6) = 0

Reorder the terms:
6 + 2a + -1a2 + 6a4 + -1(-6 + 7a + -5a + -6a + 3a2 + -6a3) = 0

Combine like terms: 7a + -5a = 2a
6 + 2a + -1a2 + 6a4 + -1(-6 + 2a + -6a + 3a2 + -6a3) = 0

Combine like terms: 2a + -6a = -4a
6 + 2a + -1a2 + 6a4 + -1(-6 + -4a + 3a2 + -6a3) = 0
6 + 2a + -1a2 + 6a4 + (-6 * -1 + -4a * -1 + 3a2 * -1 + -6a3 * -1) = 0
6 + 2a + -1a2 + 6a4 + (6 + 4a + -3a2 + 6a3) = 0

Reorder the terms:
6 + 6 + 2a + 4a + -1a2 + -3a2 + 6a3 + 6a4 = 0

Combine like terms: 6 + 6 = 12
12 + 2a + 4a + -1a2 + -3a2 + 6a3 + 6a4 = 0

Combine like terms: 2a + 4a = 6a
12 + 6a + -1a2 + -3a2 + 6a3 + 6a4 = 0

Combine like terms: -1a2 + -3a2 = -4a2
12 + 6a + -4a2 + 6a3 + 6a4 = 0

Solving
12 + 6a + -4a2 + 6a3 + 6a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 3a + -2a2 + 3a3 + 3a4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(6 + 3a + -2a2 + 3a3 + 3a4)' equal to zero and attempt to solve:

Simplifying
6 + 3a + -2a2 + 3a3 + 3a4 = 0

Solving
6 + 3a + -2a2 + 3a3 + 3a4 = 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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