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

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


Simplifying
(a2 + -1ab + 4b2)(6a2 + 8ab + -1b2) = 0

Reorder the terms:
(-1ab + a2 + 4b2)(6a2 + 8ab + -1b2) = 0

Reorder the terms:
(-1ab + a2 + 4b2)(8ab + 6a2 + -1b2) = 0

Multiply (-1ab + a2 + 4b2) * (8ab + 6a2 + -1b2)
(-1ab * (8ab + 6a2 + -1b2) + a2(8ab + 6a2 + -1b2) + 4b2 * (8ab + 6a2 + -1b2)) = 0
((8ab * -1ab + 6a2 * -1ab + -1b2 * -1ab) + a2(8ab + 6a2 + -1b2) + 4b2 * (8ab + 6a2 + -1b2)) = 0

Reorder the terms:
((1ab3 + -8a2b2 + -6a3b) + a2(8ab + 6a2 + -1b2) + 4b2 * (8ab + 6a2 + -1b2)) = 0
((1ab3 + -8a2b2 + -6a3b) + a2(8ab + 6a2 + -1b2) + 4b2 * (8ab + 6a2 + -1b2)) = 0
(1ab3 + -8a2b2 + -6a3b + (8ab * a2 + 6a2 * a2 + -1b2 * a2) + 4b2 * (8ab + 6a2 + -1b2)) = 0

Reorder the terms:
(1ab3 + -8a2b2 + -6a3b + (-1a2b2 + 8a3b + 6a4) + 4b2 * (8ab + 6a2 + -1b2)) = 0
(1ab3 + -8a2b2 + -6a3b + (-1a2b2 + 8a3b + 6a4) + 4b2 * (8ab + 6a2 + -1b2)) = 0
(1ab3 + -8a2b2 + -6a3b + -1a2b2 + 8a3b + 6a4 + (8ab * 4b2 + 6a2 * 4b2 + -1b2 * 4b2)) = 0
(1ab3 + -8a2b2 + -6a3b + -1a2b2 + 8a3b + 6a4 + (32ab3 + 24a2b2 + -4b4)) = 0

Reorder the terms:
(1ab3 + 32ab3 + -8a2b2 + -1a2b2 + 24a2b2 + -6a3b + 8a3b + 6a4 + -4b4) = 0

Combine like terms: 1ab3 + 32ab3 = 33ab3
(33ab3 + -8a2b2 + -1a2b2 + 24a2b2 + -6a3b + 8a3b + 6a4 + -4b4) = 0

Combine like terms: -8a2b2 + -1a2b2 = -9a2b2
(33ab3 + -9a2b2 + 24a2b2 + -6a3b + 8a3b + 6a4 + -4b4) = 0

Combine like terms: -9a2b2 + 24a2b2 = 15a2b2
(33ab3 + 15a2b2 + -6a3b + 8a3b + 6a4 + -4b4) = 0

Combine like terms: -6a3b + 8a3b = 2a3b
(33ab3 + 15a2b2 + 2a3b + 6a4 + -4b4) = 0

Solving
33ab3 + 15a2b2 + 2a3b + 6a4 + -4b4 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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