(2)(2-a)(2a^2-8)+(3)(a+2)(2a^2-8)-(a)(a+2)(2-a)=1

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Solution for (2)(2-a)(2a^2-8)+(3)(a+2)(2a^2-8)-(a)(a+2)(2-a)=1 equation: 


Simplifying
(2)(2 + -1a)(2a2 + -8) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1

Reorder the terms:
2(2 + -1a)(-8 + 2a2) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1

Multiply (2 + -1a) * (-8 + 2a2)
2(2(-8 + 2a2) + -1a * (-8 + 2a2)) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1
2((-8 * 2 + 2a2 * 2) + -1a * (-8 + 2a2)) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1
2((-16 + 4a2) + -1a * (-8 + 2a2)) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1
2(-16 + 4a2 + (-8 * -1a + 2a2 * -1a)) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1
2(-16 + 4a2 + (8a + -2a3)) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1

Reorder the terms:
2(-16 + 8a + 4a2 + -2a3) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1
2(-16 + 8a + 4a2 + -2a3) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1
(-16 * 2 + 8a * 2 + 4a2 * 2 + -2a3 * 2) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1
(-32 + 16a + 8a2 + -4a3) + (3)(a + 2)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1

Reorder the terms:
-32 + 16a + 8a2 + -4a3 + 3(2 + a)(2a2 + -8) + -1(a)(a + 2)(2 + -1a) = 1

Reorder the terms:
-32 + 16a + 8a2 + -4a3 + 3(2 + a)(-8 + 2a2) + -1(a)(a + 2)(2 + -1a) = 1

Multiply (2 + a) * (-8 + 2a2)
-32 + 16a + 8a2 + -4a3 + 3(2(-8 + 2a2) + a(-8 + 2a2)) + -1(a)(a + 2)(2 + -1a) = 1
-32 + 16a + 8a2 + -4a3 + 3((-8 * 2 + 2a2 * 2) + a(-8 + 2a2)) + -1(a)(a + 2)(2 + -1a) = 1
-32 + 16a + 8a2 + -4a3 + 3((-16 + 4a2) + a(-8 + 2a2)) + -1(a)(a + 2)(2 + -1a) = 1
-32 + 16a + 8a2 + -4a3 + 3(-16 + 4a2 + (-8 * a + 2a2 * a)) + -1(a)(a + 2)(2 + -1a) = 1
-32 + 16a + 8a2 + -4a3 + 3(-16 + 4a2 + (-8a + 2a3)) + -1(a)(a + 2)(2 + -1a) = 1

Reorder the terms:
-32 + 16a + 8a2 + -4a3 + 3(-16 + -8a + 4a2 + 2a3) + -1(a)(a + 2)(2 + -1a) = 1
-32 + 16a + 8a2 + -4a3 + 3(-16 + -8a + 4a2 + 2a3) + -1(a)(a + 2)(2 + -1a) = 1
-32 + 16a + 8a2 + -4a3 + (-16 * 3 + -8a * 3 + 4a2 * 3 + 2a3 * 3) + -1(a)(a + 2)(2 + -1a) = 1
-32 + 16a + 8a2 + -4a3 + (-48 + -24a + 12a2 + 6a3) + -1(a)(a + 2)(2 + -1a) = 1

Reorder the terms:
-32 + 16a + 8a2 + -4a3 + -48 + -24a + 12a2 + 6a3 + -1a(2 + a)(2 + -1a) = 1

Multiply (2 + a) * (2 + -1a)
-32 + 16a + 8a2 + -4a3 + -48 + -24a + 12a2 + 6a3 + -1a(2(2 + -1a) + a(2 + -1a)) = 1
-32 + 16a + 8a2 + -4a3 + -48 + -24a + 12a2 + 6a3 + -1a((2 * 2 + -1a * 2) + a(2 + -1a)) = 1
-32 + 16a + 8a2 + -4a3 + -48 + -24a + 12a2 + 6a3 + -1a((4 + -2a) + a(2 + -1a)) = 1
-32 + 16a + 8a2 + -4a3 + -48 + -24a + 12a2 + 6a3 + -1a(4 + -2a + (2 * a + -1a * a)) = 1
-32 + 16a + 8a2 + -4a3 + -48 + -24a + 12a2 + 6a3 + -1a(4 + -2a + (2a + -1a2)) = 1

Combine like terms: -2a + 2a = 0
-32 + 16a + 8a2 + -4a3 + -48 + -24a + 12a2 + 6a3 + -1a(4 + 0 + -1a2) = 1
-32 + 16a + 8a2 + -4a3 + -48 + -24a + 12a2 + 6a3 + -1a(4 + -1a2) = 1
-32 + 16a + 8a2 + -4a3 + -48 + -24a + 12a2 + 6a3 + (4 * -1a + -1a2 * -1a) = 1
-32 + 16a + 8a2 + -4a3 + -48 + -24a + 12a2 + 6a3 + (-4a + 1a3) = 1

Reorder the terms:
-32 + -48 + 16a + -24a + -4a + 8a2 + 12a2 + -4a3 + 6a3 + 1a3 = 1

Combine like terms: -32 + -48 = -80
-80 + 16a + -24a + -4a + 8a2 + 12a2 + -4a3 + 6a3 + 1a3 = 1

Combine like terms: 16a + -24a = -8a
-80 + -8a + -4a + 8a2 + 12a2 + -4a3 + 6a3 + 1a3 = 1

Combine like terms: -8a + -4a = -12a
-80 + -12a + 8a2 + 12a2 + -4a3 + 6a3 + 1a3 = 1

Combine like terms: 8a2 + 12a2 = 20a2
-80 + -12a + 20a2 + -4a3 + 6a3 + 1a3 = 1

Combine like terms: -4a3 + 6a3 = 2a3
-80 + -12a + 20a2 + 2a3 + 1a3 = 1

Combine like terms: 2a3 + 1a3 = 3a3
-80 + -12a + 20a2 + 3a3 = 1

Solving
-80 + -12a + 20a2 + 3a3 = 1

Solving for variable 'a'.

Reorder the terms:
-80 + -1 + -12a + 20a2 + 3a3 = 1 + -1

Combine like terms: -80 + -1 = -81
-81 + -12a + 20a2 + 3a3 = 1 + -1

Combine like terms: 1 + -1 = 0
-81 + -12a + 20a2 + 3a3 = 0

The solution to this equation could not be determined.

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