(6a^4b^3-A^4b)-(-3a^4b^3+14a^3b-a^4b)+(-13a^3b+12a^4b)=0

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Solution for (6a^4b^3-A^4b)-(-3a^4b^3+14a^3b-a^4b)+(-13a^3b+12a^4b)=0 equation:


Simplifying
(6a4b3 + -1A4b) + -1(-3a4b3 + 14a3b + -1a4b) + (-13a3b + 12a4b) = 0

Remove parenthesis around (6a4b3 + -1bA4)
6a4b3 + -1bA4 + -1(-3a4b3 + 14a3b + -1a4b) + (-13a3b + 12a4b) = 0

Reorder the terms:
6a4b3 + -1bA4 + -1(14a3b + -1a4b + -3a4b3) + (-13a3b + 12a4b) = 0
6a4b3 + -1bA4 + (14a3b * -1 + -1a4b * -1 + -3a4b3 * -1) + (-13a3b + 12a4b) = 0
6a4b3 + -1bA4 + (-14a3b + 1a4b + 3a4b3) + (-13a3b + 12a4b) = 0

Remove parenthesis around (-13a3b + 12a4b)
6a4b3 + -1bA4 + -14a3b + 1a4b + 3a4b3 + -13a3b + 12a4b = 0

Reorder the terms:
-14a3b + -13a3b + 1a4b + 12a4b + 6a4b3 + 3a4b3 + -1bA4 = 0

Combine like terms: -14a3b + -13a3b = -27a3b
-27a3b + 1a4b + 12a4b + 6a4b3 + 3a4b3 + -1bA4 = 0

Combine like terms: 1a4b + 12a4b = 13a4b
-27a3b + 13a4b + 6a4b3 + 3a4b3 + -1bA4 = 0

Combine like terms: 6a4b3 + 3a4b3 = 9a4b3
-27a3b + 13a4b + 9a4b3 + -1bA4 = 0

Solving
-27a3b + 13a4b + 9a4b3 + -1bA4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-27a3 + 13a4 + 9a4b2 + -1A4) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-27a3 + 13a4 + 9a4b2 + -1A4)' equal to zero and attempt to solve: Simplifying -27a3 + 13a4 + 9a4b2 + -1A4 = 0 Reorder the terms: -1A4 + -27a3 + 13a4 + 9a4b2 = 0 Solving -1A4 + -27a3 + 13a4 + 9a4b2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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