[(7a^4-3a^3-8a)+5a^3]-[-(11a^4+2a^3)]=

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Solution for [(7a^4-3a^3-8a)+5a^3]-[-(11a^4+2a^3)]= equation: 


Simplifying
[(7a4 + -3a3 + -8a) + 5a3] + -1[-1(11a4 + 2a3)] = 0

Reorder the terms:
[(-8a + -3a3 + 7a4) + 5a3] + -1[-1(11a4 + 2a3)] = 0

Remove parenthesis around (-8a + -3a3 + 7a4)
[-8a + -3a3 + 7a4 + 5a3] + -1[-1(11a4 + 2a3)] = 0

Reorder the terms:
[-8a + -3a3 + 5a3 + 7a4] + -1[-1(11a4 + 2a3)] = 0

Combine like terms: -3a3 + 5a3 = 2a3
[-8a + 2a3 + 7a4] + -1[-1(11a4 + 2a3)] = 0

Remove brackets around [-8a + 2a3 + 7a4]
-8a + 2a3 + 7a4 + -1[-1(11a4 + 2a3)] = 0

Reorder the terms:
-8a + 2a3 + 7a4 + -1[-1(2a3 + 11a4)] = 0
-8a + 2a3 + 7a4 + -1[(2a3 * -1 + 11a4 * -1)] = 0
-8a + 2a3 + 7a4 + -1[(-2a3 + -11a4)] = 0
-8a + 2a3 + 7a4 + [-2a3 * -1 + -11a4 * -1] = 0
-8a + 2a3 + 7a4 + [2a3 + 11a4] = 0

Reorder the terms:
-8a + 2a3 + 2a3 + 7a4 + 11a4 = 0

Combine like terms: 2a3 + 2a3 = 4a3
-8a + 4a3 + 7a4 + 11a4 = 0

Combine like terms: 7a4 + 11a4 = 18a4
-8a + 4a3 + 18a4 = 0

Solving
-8a + 4a3 + 18a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-4 + 2a2 + 9a3) = 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 '(-4 + 2a2 + 9a3)' equal to zero and attempt to solve:

Simplifying
-4 + 2a2 + 9a3 = 0

Solving
-4 + 2a2 + 9a3 = 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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