(3a-b)(a^2-b^3)-a^2(a+2b)+(3a+b)(3a-b)=0

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Solution for (3a-b)(a^2-b^3)-a^2(a+2b)+(3a+b)(3a-b)=0 equation:


Simplifying
(3a + -1b)(a2 + -1b3) + -1a2(a + 2b) + (3a + b)(3a + -1b) = 0

Multiply (3a + -1b) * (a2 + -1b3)
(3a * (a2 + -1b3) + -1b * (a2 + -1b3)) + -1a2(a + 2b) + (3a + b)(3a + -1b) = 0
((a2 * 3a + -1b3 * 3a) + -1b * (a2 + -1b3)) + -1a2(a + 2b) + (3a + b)(3a + -1b) = 0

Reorder the terms:
((-3ab3 + 3a3) + -1b * (a2 + -1b3)) + -1a2(a + 2b) + (3a + b)(3a + -1b) = 0
((-3ab3 + 3a3) + -1b * (a2 + -1b3)) + -1a2(a + 2b) + (3a + b)(3a + -1b) = 0
(-3ab3 + 3a3 + (a2 * -1b + -1b3 * -1b)) + -1a2(a + 2b) + (3a + b)(3a + -1b) = 0
(-3ab3 + 3a3 + (-1a2b + 1b4)) + -1a2(a + 2b) + (3a + b)(3a + -1b) = 0

Reorder the terms:
(-3ab3 + -1a2b + 3a3 + 1b4) + -1a2(a + 2b) + (3a + b)(3a + -1b) = 0
(-3ab3 + -1a2b + 3a3 + 1b4) + -1a2(a + 2b) + (3a + b)(3a + -1b) = 0
-3ab3 + -1a2b + 3a3 + 1b4 + (a * -1a2 + 2b * -1a2) + (3a + b)(3a + -1b) = 0

Reorder the terms:
-3ab3 + -1a2b + 3a3 + 1b4 + (-2a2b + -1a3) + (3a + b)(3a + -1b) = 0
-3ab3 + -1a2b + 3a3 + 1b4 + (-2a2b + -1a3) + (3a + b)(3a + -1b) = 0

Multiply (3a + b) * (3a + -1b)
-3ab3 + -1a2b + 3a3 + 1b4 + -2a2b + -1a3 + (3a * (3a + -1b) + b(3a + -1b)) = 0
-3ab3 + -1a2b + 3a3 + 1b4 + -2a2b + -1a3 + ((3a * 3a + -1b * 3a) + b(3a + -1b)) = 0

Reorder the terms:
-3ab3 + -1a2b + 3a3 + 1b4 + -2a2b + -1a3 + ((-3ab + 9a2) + b(3a + -1b)) = 0
-3ab3 + -1a2b + 3a3 + 1b4 + -2a2b + -1a3 + ((-3ab + 9a2) + b(3a + -1b)) = 0
-3ab3 + -1a2b + 3a3 + 1b4 + -2a2b + -1a3 + (-3ab + 9a2 + (3a * b + -1b * b)) = 0
-3ab3 + -1a2b + 3a3 + 1b4 + -2a2b + -1a3 + (-3ab + 9a2 + (3ab + -1b2)) = 0

Reorder the terms:
-3ab3 + -1a2b + 3a3 + 1b4 + -2a2b + -1a3 + (-3ab + 3ab + 9a2 + -1b2) = 0

Combine like terms: -3ab + 3ab = 0
-3ab3 + -1a2b + 3a3 + 1b4 + -2a2b + -1a3 + (0 + 9a2 + -1b2) = 0
-3ab3 + -1a2b + 3a3 + 1b4 + -2a2b + -1a3 + (9a2 + -1b2) = 0

Reorder the terms:
-3ab3 + 9a2 + -1a2b + -2a2b + 3a3 + -1a3 + -1b2 + 1b4 = 0

Combine like terms: -1a2b + -2a2b = -3a2b
-3ab3 + 9a2 + -3a2b + 3a3 + -1a3 + -1b2 + 1b4 = 0

Combine like terms: 3a3 + -1a3 = 2a3
-3ab3 + 9a2 + -3a2b + 2a3 + -1b2 + 1b4 = 0

Solving
-3ab3 + 9a2 + -3a2b + 2a3 + -1b2 + 1b4 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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