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

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


Simplifying
3a(a2 + -1a4) + -3a(a5 + a2) + -2a(a2 + -2a) = 0
(a2 * 3a + -1a4 * 3a) + -3a(a5 + a2) + -2a(a2 + -2a) = 0
(3a3 + -3a5) + -3a(a5 + a2) + -2a(a2 + -2a) = 0

Reorder the terms:
3a3 + -3a5 + -3a(a2 + a5) + -2a(a2 + -2a) = 0
3a3 + -3a5 + (a2 * -3a + a5 * -3a) + -2a(a2 + -2a) = 0
3a3 + -3a5 + (-3a3 + -3a6) + -2a(a2 + -2a) = 0

Reorder the terms:
3a3 + -3a5 + -3a3 + -3a6 + -2a(-2a + a2) = 0
3a3 + -3a5 + -3a3 + -3a6 + (-2a * -2a + a2 * -2a) = 0
3a3 + -3a5 + -3a3 + -3a6 + (4a2 + -2a3) = 0

Reorder the terms:
4a2 + 3a3 + -3a3 + -2a3 + -3a5 + -3a6 = 0

Combine like terms: 3a3 + -3a3 = 0
4a2 + 0 + -2a3 + -3a5 + -3a6 = 0
4a2 + -2a3 + -3a5 + -3a6 = 0

Solving
4a2 + -2a3 + -3a5 + -3a6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(4 + -2a + -3a3 + -3a4) = 0


Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(4 + -2a + -3a3 + -3a4)' equal to zero and attempt to solve:

Simplifying
4 + -2a + -3a3 + -3a4 = 0

Solving
4 + -2a + -3a3 + -3a4 = 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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