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

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


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

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

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

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

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

Solving
-1a + -3a2 + -3a3 + a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1 + -3a + -3a2 + a3) = 0


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 '(-1 + -3a + -3a2 + a3)' equal to zero and attempt to solve:

Simplifying
-1 + -3a + -3a2 + a3 = 0

Solving
-1 + -3a + -3a2 + a3 = 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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