(6a^3b^3+2a^2b)+(5a^2B-6a^3b^3)=

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Solution for (6a^3b^3+2a^2b)+(5a^2B-6a^3b^3)= equation:


Simplifying
(6a3b3 + 2a2b) + (5a2B + -6a3b3) = 0

Reorder the terms:
(2a2b + 6a3b3) + (5a2B + -6a3b3) = 0

Remove parenthesis around (2a2b + 6a3b3)
2a2b + 6a3b3 + (5a2B + -6a3b3) = 0

Remove parenthesis around (5a2B + -6a3b3)
2a2b + 6a3b3 + 5a2B + -6a3b3 = 0

Reorder the terms:
5a2B + 2a2b + 6a3b3 + -6a3b3 = 0

Combine like terms: 6a3b3 + -6a3b3 = 0
5a2B + 2a2b + 0 = 0
5a2B + 2a2b = 0

Solving
5a2B + 2a2b = 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), 'a2'.
a2(5B + 2b) = 0

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 '(5B + 2b)' equal to zero and attempt to solve: Simplifying 5B + 2b = 0 Solving 5B + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5B' to each side of the equation. 5B + -5B + 2b = 0 + -5B Combine like terms: 5B + -5B = 0 0 + 2b = 0 + -5B 2b = 0 + -5B Remove the zero: 2b = -5B Add '-2b' to each side of the equation. 2b + -2b = -5B + -2b Combine like terms: 2b + -2b = 0 0 = -5B + -2b Simplifying 0 = -5B + -2b 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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