3a^3+7a-3a^2-2a-4a^3-a=

Solution for 3a^3+7a-3a^2-2a-4a^3-a= equation:

Simplifying
3a3 + 7a + -3a2 + -2a + -4a3 + -1a = 0

Reorder the terms:
7a + -2a + -1a + -3a2 + 3a3 + -4a3 = 0

Combine like terms: 7a + -2a = 5a
5a + -1a + -3a2 + 3a3 + -4a3 = 0

Combine like terms: 5a + -1a = 4a
4a + -3a2 + 3a3 + -4a3 = 0

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

Solving
4a + -3a2 + -1a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(4 + -3a + -1a2) = 0

Factor a trinomial.
a((1 + -1a)(4 + a)) = 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 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1

Combine like terms: 0 + -1 = -1
-1a = -1

Divide each side by '-1'.
a = 1

Simplifying
a = 1
Subproblem 3
Set the factor '(4 + a)' equal to zero and attempt to solve:

Simplifying
4 + a = 0

Solving
4 + a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + a = 0 + -4
a = 0 + -4

Combine like terms: 0 + -4 = -4
a = -4

Simplifying
a = -4
Solution
a = {0, 1, -4}