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

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

Simplifying
a3 + -2a2 + -1(3a2 + -4a3) = 0
a3 + -2a2 + (3a2 * -1 + -4a3 * -1) = 0
a3 + -2a2 + (-3a2 + 4a3) = 0

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

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

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

Solving
-5a2 + 5a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2'.
5a2(-1 + a) = 0

Ignore the factor 5.
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 '(-1 + a)' equal to zero and attempt to solve:

Simplifying
-1 + a = 0

Solving
-1 + a = 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 + a = 0 + 1

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

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

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