(7a^3b-3a^3+2b)+(9a^3b-5a^3-8b)=

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Solution for (7a^3b-3a^3+2b)+(9a^3b-5a^3-8b)= equation:


Simplifying
(7a3b + -3a3 + 2b) + (9a3b + -5a3 + -8b) = 0

Reorder the terms:
(-3a3 + 7a3b + 2b) + (9a3b + -5a3 + -8b) = 0

Remove parenthesis around (-3a3 + 7a3b + 2b)
-3a3 + 7a3b + 2b + (9a3b + -5a3 + -8b) = 0

Reorder the terms:
-3a3 + 7a3b + 2b + (-5a3 + 9a3b + -8b) = 0

Remove parenthesis around (-5a3 + 9a3b + -8b)
-3a3 + 7a3b + 2b + -5a3 + 9a3b + -8b = 0

Reorder the terms:
-3a3 + -5a3 + 7a3b + 9a3b + 2b + -8b = 0

Combine like terms: -3a3 + -5a3 = -8a3
-8a3 + 7a3b + 9a3b + 2b + -8b = 0

Combine like terms: 7a3b + 9a3b = 16a3b
-8a3 + 16a3b + 2b + -8b = 0

Combine like terms: 2b + -8b = -6b
-8a3 + 16a3b + -6b = 0

Solving
-8a3 + 16a3b + -6b = 0

Solving for variable 'a'.

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

Add '6b' to each side of the equation.
-8a3 + 16a3b + -6b + 6b = 0 + 6b

Combine like terms: -6b + 6b = 0
-8a3 + 16a3b + 0 = 0 + 6b
-8a3 + 16a3b = 0 + 6b
Remove the zero:
-8a3 + 16a3b = 6b

Combine like terms: 6b + -6b = 0
-8a3 + 16a3b + -6b = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4a3 + 8a3b + -3b) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4a3 + 8a3b + -3b)' equal to zero and attempt to solve: Simplifying -4a3 + 8a3b + -3b = 0 Solving -4a3 + 8a3b + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. -4a3 + 8a3b + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 -4a3 + 8a3b + 0 = 0 + 3b -4a3 + 8a3b = 0 + 3b Remove the zero: -4a3 + 8a3b = 3b 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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