(A^3-8)(a^4+3a^2+4)=

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Solution for (A^3-8)(a^4+3a^2+4)= equation:


Simplifying
(A3 + -8)(a4 + 3a2 + 4) = 0

Reorder the terms:
(-8 + A3)(a4 + 3a2 + 4) = 0

Reorder the terms:
(-8 + A3)(4 + 3a2 + a4) = 0

Multiply (-8 + A3) * (4 + 3a2 + a4)
(-8(4 + 3a2 + a4) + A3(4 + 3a2 + a4)) = 0
((4 * -8 + 3a2 * -8 + a4 * -8) + A3(4 + 3a2 + a4)) = 0
((-32 + -24a2 + -8a4) + A3(4 + 3a2 + a4)) = 0
(-32 + -24a2 + -8a4 + (4 * A3 + 3a2 * A3 + a4 * A3)) = 0
(-32 + -24a2 + -8a4 + (4A3 + 3a2A3 + a4A3)) = 0

Reorder the terms:
(-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3) = 0
(-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3) = 0

Solving
-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 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 + 4A3 + -24a2 + 3a2A3 + -8a4 + 32 + a4A3 = 0 + 32

Reorder the terms:
-32 + 32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 + 32
4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 + 32

Combine like terms: 0 + 32 = 32
4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 32

Add '24a2' to each side of the equation.
4A3 + -24a2 + 3a2A3 + -8a4 + 24a2 + a4A3 = 32 + 24a2

Reorder the terms:
4A3 + -24a2 + 24a2 + 3a2A3 + -8a4 + a4A3 = 32 + 24a2

Combine like terms: -24a2 + 24a2 = 0
4A3 + 0 + 3a2A3 + -8a4 + a4A3 = 32 + 24a2
4A3 + 3a2A3 + -8a4 + a4A3 = 32 + 24a2

Add '8a4' to each side of the equation.
4A3 + 3a2A3 + -8a4 + 8a4 + a4A3 = 32 + 24a2 + 8a4

Combine like terms: -8a4 + 8a4 = 0
4A3 + 3a2A3 + 0 + a4A3 = 32 + 24a2 + 8a4
4A3 + 3a2A3 + a4A3 = 32 + 24a2 + 8a4

Reorder the terms:
-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 32 + 24a2 + 8a4 + -32 + -24a2 + -8a4

Reorder the terms:
-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 32 + -32 + 24a2 + -24a2 + 8a4 + -8a4

Combine like terms: 32 + -32 = 0
-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 + 24a2 + -24a2 + 8a4 + -8a4
-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 24a2 + -24a2 + 8a4 + -8a4

Combine like terms: 24a2 + -24a2 = 0
-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 + 8a4 + -8a4
-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 8a4 + -8a4

Combine like terms: 8a4 + -8a4 = 0
-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0

The solution to this equation could not be determined.

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