(2a+3a)(4a^2+6ab+9b^2)-8(a^3-b^3)=0

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Solution for (2a+3a)(4a^2+6ab+9b^2)-8(a^3-b^3)=0 equation:


Simplifying
(2a + 3a)(4a2 + 6ab + 9b2) + -8(a3 + -1b3) = 0

Combine like terms: 2a + 3a = 5a
(5a)(4a2 + 6ab + 9b2) + -8(a3 + -1b3) = 0

Remove parenthesis around (5a)
5a(4a2 + 6ab + 9b2) + -8(a3 + -1b3) = 0

Reorder the terms:
5a(6ab + 4a2 + 9b2) + -8(a3 + -1b3) = 0
(6ab * 5a + 4a2 * 5a + 9b2 * 5a) + -8(a3 + -1b3) = 0

Reorder the terms:
(45ab2 + 30a2b + 20a3) + -8(a3 + -1b3) = 0
(45ab2 + 30a2b + 20a3) + -8(a3 + -1b3) = 0
45ab2 + 30a2b + 20a3 + (a3 * -8 + -1b3 * -8) = 0
45ab2 + 30a2b + 20a3 + (-8a3 + 8b3) = 0

Combine like terms: 20a3 + -8a3 = 12a3
45ab2 + 30a2b + 12a3 + 8b3 = 0

Solving
45ab2 + 30a2b + 12a3 + 8b3 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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