[8(3a^2b^3-8a^4b^6c-4)-4(6a^2b^3-16a^4b^6c+12a^3bc^5)]=

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Solution for [8(3a^2b^3-8a^4b^6c-4)-4(6a^2b^3-16a^4b^6c+12a^3bc^5)]= equation:


Simplifying
[8(3a2b3 + -8a4b6c + -4) + -4(6a2b3 + -16a4b6c + 12a3bc5)] = 0

Reorder the terms:
[8(-4 + 3a2b3 + -8a4b6c) + -4(6a2b3 + -16a4b6c + 12a3bc5)] = 0
[(-4 * 8 + 3a2b3 * 8 + -8a4b6c * 8) + -4(6a2b3 + -16a4b6c + 12a3bc5)] = 0
[(-32 + 24a2b3 + -64a4b6c) + -4(6a2b3 + -16a4b6c + 12a3bc5)] = 0

Reorder the terms:
[-32 + 24a2b3 + -64a4b6c + -4(6a2b3 + 12a3bc5 + -16a4b6c)] = 0
[-32 + 24a2b3 + -64a4b6c + (6a2b3 * -4 + 12a3bc5 * -4 + -16a4b6c * -4)] = 0
[-32 + 24a2b3 + -64a4b6c + (-24a2b3 + -48a3bc5 + 64a4b6c)] = 0

Reorder the terms:
[-32 + 24a2b3 + -24a2b3 + -48a3bc5 + -64a4b6c + 64a4b6c] = 0

Combine like terms: 24a2b3 + -24a2b3 = 0
[-32 + 0 + -48a3bc5 + -64a4b6c + 64a4b6c] = 0
[-32 + -48a3bc5 + -64a4b6c + 64a4b6c] = 0

Combine like terms: -64a4b6c + 64a4b6c = 0
[-32 + -48a3bc5 + 0] = 0
[-32 + -48a3bc5] = 0

Remove brackets around [-32 + -48a3bc5]
-32 + -48a3bc5 = 0

Solving
-32 + -48a3bc5 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '32' to each side of the equation.
-32 + 32 + -48a3bc5 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -48a3bc5 = 0 + 32
-48a3bc5 = 0 + 32

Combine like terms: 0 + 32 = 32
-48a3bc5 = 32

Divide each side by '-48bc5'.
a3 = -0.6666666667b-1c-5

Simplifying
a3 = -0.6666666667b-1c-5

Combine like terms: -0.6666666667b-1c-5 + 0.6666666667b-1c-5 = 0.0000000000
a3 + 0.6666666667b-1c-5 = 0.0000000000

The solution to this equation could not be determined.

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