(3-3a)(a^2-a-6)-(2a+2)(3-a)(a-3)-30(3-a)=0

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Solution for (3-3a)(a^2-a-6)-(2a+2)(3-a)(a-3)-30(3-a)=0 equation: 


Simplifying
(3 + -3a)(a2 + -1a + -6) + -1(2a + 2)(3 + -1a)(a + -3) + -30(3 + -1a) = 0

Reorder the terms:
(3 + -3a)(-6 + -1a + a2) + -1(2a + 2)(3 + -1a)(a + -3) + -30(3 + -1a) = 0

Multiply (3 + -3a) * (-6 + -1a + a2)
(3(-6 + -1a + a2) + -3a * (-6 + -1a + a2)) + -1(2a + 2)(3 + -1a)(a + -3) + -30(3 + -1a) = 0
((-6 * 3 + -1a * 3 + a2 * 3) + -3a * (-6 + -1a + a2)) + -1(2a + 2)(3 + -1a)(a + -3) + -30(3 + -1a) = 0
((-18 + -3a + 3a2) + -3a * (-6 + -1a + a2)) + -1(2a + 2)(3 + -1a)(a + -3) + -30(3 + -1a) = 0
(-18 + -3a + 3a2 + (-6 * -3a + -1a * -3a + a2 * -3a)) + -1(2a + 2)(3 + -1a)(a + -3) + -30(3 + -1a) = 0
(-18 + -3a + 3a2 + (18a + 3a2 + -3a3)) + -1(2a + 2)(3 + -1a)(a + -3) + -30(3 + -1a) = 0

Reorder the terms:
(-18 + -3a + 18a + 3a2 + 3a2 + -3a3) + -1(2a + 2)(3 + -1a)(a + -3) + -30(3 + -1a) = 0

Combine like terms: -3a + 18a = 15a
(-18 + 15a + 3a2 + 3a2 + -3a3) + -1(2a + 2)(3 + -1a)(a + -3) + -30(3 + -1a) = 0

Combine like terms: 3a2 + 3a2 = 6a2
(-18 + 15a + 6a2 + -3a3) + -1(2a + 2)(3 + -1a)(a + -3) + -30(3 + -1a) = 0

Reorder the terms:
-18 + 15a + 6a2 + -3a3 + -1(2 + 2a)(3 + -1a)(a + -3) + -30(3 + -1a) = 0

Reorder the terms:
-18 + 15a + 6a2 + -3a3 + -1(2 + 2a)(3 + -1a)(-3 + a) + -30(3 + -1a) = 0

Multiply (2 + 2a) * (3 + -1a)
-18 + 15a + 6a2 + -3a3 + -1(2(3 + -1a) + 2a * (3 + -1a))(-3 + a) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + -1((3 * 2 + -1a * 2) + 2a * (3 + -1a))(-3 + a) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + -1((6 + -2a) + 2a * (3 + -1a))(-3 + a) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + -1(6 + -2a + (3 * 2a + -1a * 2a))(-3 + a) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + -1(6 + -2a + (6a + -2a2))(-3 + a) + -30(3 + -1a) = 0

Combine like terms: -2a + 6a = 4a
-18 + 15a + 6a2 + -3a3 + -1(6 + 4a + -2a2)(-3 + a) + -30(3 + -1a) = 0

Multiply (6 + 4a + -2a2) * (-3 + a)
-18 + 15a + 6a2 + -3a3 + -1(6(-3 + a) + 4a * (-3 + a) + -2a2 * (-3 + a)) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + -1((-3 * 6 + a * 6) + 4a * (-3 + a) + -2a2 * (-3 + a)) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + -1((-18 + 6a) + 4a * (-3 + a) + -2a2 * (-3 + a)) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + -1(-18 + 6a + (-3 * 4a + a * 4a) + -2a2 * (-3 + a)) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + -1(-18 + 6a + (-12a + 4a2) + -2a2 * (-3 + a)) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + -1(-18 + 6a + -12a + 4a2 + (-3 * -2a2 + a * -2a2)) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + -1(-18 + 6a + -12a + 4a2 + (6a2 + -2a3)) + -30(3 + -1a) = 0

Combine like terms: 6a + -12a = -6a
-18 + 15a + 6a2 + -3a3 + -1(-18 + -6a + 4a2 + 6a2 + -2a3) + -30(3 + -1a) = 0

Combine like terms: 4a2 + 6a2 = 10a2
-18 + 15a + 6a2 + -3a3 + -1(-18 + -6a + 10a2 + -2a3) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + (-18 * -1 + -6a * -1 + 10a2 * -1 + -2a3 * -1) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + (18 + 6a + -10a2 + 2a3) + -30(3 + -1a) = 0
-18 + 15a + 6a2 + -3a3 + 18 + 6a + -10a2 + 2a3 + (3 * -30 + -1a * -30) = 0
-18 + 15a + 6a2 + -3a3 + 18 + 6a + -10a2 + 2a3 + (-90 + 30a) = 0

Reorder the terms:
-18 + 18 + -90 + 15a + 6a + 30a + 6a2 + -10a2 + -3a3 + 2a3 = 0

Combine like terms: -18 + 18 = 0
0 + -90 + 15a + 6a + 30a + 6a2 + -10a2 + -3a3 + 2a3 = 0
-90 + 15a + 6a + 30a + 6a2 + -10a2 + -3a3 + 2a3 = 0

Combine like terms: 15a + 6a = 21a
-90 + 21a + 30a + 6a2 + -10a2 + -3a3 + 2a3 = 0

Combine like terms: 21a + 30a = 51a
-90 + 51a + 6a2 + -10a2 + -3a3 + 2a3 = 0

Combine like terms: 6a2 + -10a2 = -4a2
-90 + 51a + -4a2 + -3a3 + 2a3 = 0

Combine like terms: -3a3 + 2a3 = -1a3
-90 + 51a + -4a2 + -1a3 = 0

Solving
-90 + 51a + -4a2 + -1a3 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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