(5a^3b^3)(a^2+b^2+2ab+10a+10b+25)=

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Solution for (5a^3b^3)(a^2+b^2+2ab+10a+10b+25)= equation:


Simplifying
(5a3b3)(a2 + b2 + 2ab + 10a + 10b + 25) = 0

Remove parenthesis around (5a3b3)
5a3b3(a2 + b2 + 2ab + 10a + 10b + 25) = 0

Reorder the terms:
5a3b3(25 + 10a + 2ab + a2 + 10b + b2) = 0
(25 * 5a3b3 + 10a * 5a3b3 + 2ab * 5a3b3 + a2 * 5a3b3 + 10b * 5a3b3 + b2 * 5a3b3) = 0

Reorder the terms:
(125a3b3 + 50a3b4 + 5a3b5 + 50a4b3 + 10a4b4 + 5a5b3) = 0
(125a3b3 + 50a3b4 + 5a3b5 + 50a4b3 + 10a4b4 + 5a5b3) = 0

Solving
125a3b3 + 50a3b4 + 5a3b5 + 50a4b3 + 10a4b4 + 5a5b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a3b3'.
5a3b3(25 + 10b + b2 + 10a + 2ab + a2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'a3b3' equal to zero and attempt to solve: Simplifying a3b3 = 0 Solving a3b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b3 = 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 '(25 + 10b + b2 + 10a + 2ab + a2)' equal to zero and attempt to solve: Simplifying 25 + 10b + b2 + 10a + 2ab + a2 = 0 Reorder the terms: 25 + 10a + 2ab + a2 + 10b + b2 = 0 Solving 25 + 10a + 2ab + a2 + 10b + b2 = 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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