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

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


Simplifying
(2a3b4 + 2a4b4) + (a4b3 + -2a3b4) = 0

Remove parenthesis around (2a3b4 + 2a4b4)
2a3b4 + 2a4b4 + (a4b3 + -2a3b4) = 0

Reorder the terms:
2a3b4 + 2a4b4 + (-2a3b4 + a4b3) = 0

Remove parenthesis around (-2a3b4 + a4b3)
2a3b4 + 2a4b4 + -2a3b4 + a4b3 = 0

Reorder the terms:
2a3b4 + -2a3b4 + a4b3 + 2a4b4 = 0

Combine like terms: 2a3b4 + -2a3b4 = 0
0 + a4b3 + 2a4b4 = 0
a4b3 + 2a4b4 = 0

Solving
a4b3 + 2a4b4 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a4b3'.
a4b3(1 + 2b) = 0

Subproblem 1

Set the factor 'a4b3' equal to zero and attempt to solve: Simplifying a4b3 = 0 Solving a4b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a4b3 = 0 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 '(1 + 2b)' equal to zero and attempt to solve: Simplifying 1 + 2b = 0 Solving 1 + 2b = 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 + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 0 + -1 2b = 0 + -1 Combine like terms: 0 + -1 = -1 2b = -1 Add '-2b' to each side of the equation. 2b + -2b = -1 + -2b Combine like terms: 2b + -2b = 0 0 = -1 + -2b Simplifying 0 = -1 + -2b 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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