0=a(((a^2)(b))+(ab)-(a^3)+(3a)-(4))

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Solution for 0=a(((a^2)(b))+(ab)-(a^3)+(3a)-(4)) equation: 


Simplifying
0 = a(((a2)(b)) + (ab) + -1(a3) + (3a) + -1(4))

Multiply a2 * b
0 = a((a2b) + (ab) + -1(a3) + (3a) + -1(4))
0 = a(a2b + (ab) + -1(a3) + (3a) + -1(4))
0 = a(a2b + ab + -1(a3) + (3a) + -1(4))

Multiply -1 * 4
0 = a(a2b + ab + -1a3 + (3a) + -4)

Reorder the terms:
0 = a(-4 + (3a) + ab + a2b + -1a3)
0 = (-4 * a + (3a) * a + ab * a + a2b * a + -1a3 * a)
0 = (-4a + 3a2 + a2b + a3b + -1a4)

Solving
0 = -4a + 3a2 + a2b + a3b + -1a4

Solving for variable 'a'.
Remove the zero:
4a + -3a2 + -1a2b + -1a3b + a4 = -4a + 3a2 + a2b + a3b + -1a4 + 4a + -3a2 + -1a2b + -1a3b + a4

Reorder the terms:
4a + -3a2 + -1a2b + -1a3b + a4 = -4a + 4a + 3a2 + -3a2 + a2b + -1a2b + a3b + -1a3b + -1a4 + a4

Combine like terms: -4a + 4a = 0
4a + -3a2 + -1a2b + -1a3b + a4 = 0 + 3a2 + -3a2 + a2b + -1a2b + a3b + -1a3b + -1a4 + a4
4a + -3a2 + -1a2b + -1a3b + a4 = 3a2 + -3a2 + a2b + -1a2b + a3b + -1a3b + -1a4 + a4

Combine like terms: 3a2 + -3a2 = 0
4a + -3a2 + -1a2b + -1a3b + a4 = 0 + a2b + -1a2b + a3b + -1a3b + -1a4 + a4
4a + -3a2 + -1a2b + -1a3b + a4 = a2b + -1a2b + a3b + -1a3b + -1a4 + a4

Combine like terms: a2b + -1a2b = 0
4a + -3a2 + -1a2b + -1a3b + a4 = 0 + a3b + -1a3b + -1a4 + a4
4a + -3a2 + -1a2b + -1a3b + a4 = a3b + -1a3b + -1a4 + a4

Combine like terms: a3b + -1a3b = 0
4a + -3a2 + -1a2b + -1a3b + a4 = 0 + -1a4 + a4
4a + -3a2 + -1a2b + -1a3b + a4 = -1a4 + a4

Combine like terms: -1a4 + a4 = 0
4a + -3a2 + -1a2b + -1a3b + a4 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(4 + -3a + -1ab + -1a2b + 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 '(4 + -3a + -1ab + -1a2b + a3)' equal to zero and attempt to solve:

Simplifying
4 + -3a + -1ab + -1a2b + a3 = 0

Solving
4 + -3a + -1ab + -1a2b + 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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