(a-2)(2a+3)(3a-4)(a+6)=360

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Solution for (a-2)(2a+3)(3a-4)(a+6)=360 equation: 


Simplifying
(a + -2)(2a + 3)(3a + -4)(a + 6) = 360

Reorder the terms:
(-2 + a)(2a + 3)(3a + -4)(a + 6) = 360

Reorder the terms:
(-2 + a)(3 + 2a)(3a + -4)(a + 6) = 360

Reorder the terms:
(-2 + a)(3 + 2a)(-4 + 3a)(a + 6) = 360

Reorder the terms:
(-2 + a)(3 + 2a)(-4 + 3a)(6 + a) = 360

Multiply (-2 + a) * (3 + 2a)
(-2(3 + 2a) + a(3 + 2a))(-4 + 3a)(6 + a) = 360
((3 * -2 + 2a * -2) + a(3 + 2a))(-4 + 3a)(6 + a) = 360
((-6 + -4a) + a(3 + 2a))(-4 + 3a)(6 + a) = 360
(-6 + -4a + (3 * a + 2a * a))(-4 + 3a)(6 + a) = 360
(-6 + -4a + (3a + 2a2))(-4 + 3a)(6 + a) = 360

Combine like terms: -4a + 3a = -1a
(-6 + -1a + 2a2)(-4 + 3a)(6 + a) = 360

Multiply (-6 + -1a + 2a2) * (-4 + 3a)
(-6(-4 + 3a) + -1a * (-4 + 3a) + 2a2 * (-4 + 3a))(6 + a) = 360
((-4 * -6 + 3a * -6) + -1a * (-4 + 3a) + 2a2 * (-4 + 3a))(6 + a) = 360
((24 + -18a) + -1a * (-4 + 3a) + 2a2 * (-4 + 3a))(6 + a) = 360
(24 + -18a + (-4 * -1a + 3a * -1a) + 2a2 * (-4 + 3a))(6 + a) = 360
(24 + -18a + (4a + -3a2) + 2a2 * (-4 + 3a))(6 + a) = 360
(24 + -18a + 4a + -3a2 + (-4 * 2a2 + 3a * 2a2))(6 + a) = 360
(24 + -18a + 4a + -3a2 + (-8a2 + 6a3))(6 + a) = 360

Combine like terms: -18a + 4a = -14a
(24 + -14a + -3a2 + -8a2 + 6a3)(6 + a) = 360

Combine like terms: -3a2 + -8a2 = -11a2
(24 + -14a + -11a2 + 6a3)(6 + a) = 360

Multiply (24 + -14a + -11a2 + 6a3) * (6 + a)
(24(6 + a) + -14a * (6 + a) + -11a2 * (6 + a) + 6a3 * (6 + a)) = 360
((6 * 24 + a * 24) + -14a * (6 + a) + -11a2 * (6 + a) + 6a3 * (6 + a)) = 360
((144 + 24a) + -14a * (6 + a) + -11a2 * (6 + a) + 6a3 * (6 + a)) = 360
(144 + 24a + (6 * -14a + a * -14a) + -11a2 * (6 + a) + 6a3 * (6 + a)) = 360
(144 + 24a + (-84a + -14a2) + -11a2 * (6 + a) + 6a3 * (6 + a)) = 360
(144 + 24a + -84a + -14a2 + (6 * -11a2 + a * -11a2) + 6a3 * (6 + a)) = 360
(144 + 24a + -84a + -14a2 + (-66a2 + -11a3) + 6a3 * (6 + a)) = 360
(144 + 24a + -84a + -14a2 + -66a2 + -11a3 + (6 * 6a3 + a * 6a3)) = 360
(144 + 24a + -84a + -14a2 + -66a2 + -11a3 + (36a3 + 6a4)) = 360

Combine like terms: 24a + -84a = -60a
(144 + -60a + -14a2 + -66a2 + -11a3 + 36a3 + 6a4) = 360

Combine like terms: -14a2 + -66a2 = -80a2
(144 + -60a + -80a2 + -11a3 + 36a3 + 6a4) = 360

Combine like terms: -11a3 + 36a3 = 25a3
(144 + -60a + -80a2 + 25a3 + 6a4) = 360

Solving
144 + -60a + -80a2 + 25a3 + 6a4 = 360

Solving for variable 'a'.

Reorder the terms:
144 + -360 + -60a + -80a2 + 25a3 + 6a4 = 360 + -360

Combine like terms: 144 + -360 = -216
-216 + -60a + -80a2 + 25a3 + 6a4 = 360 + -360

Combine like terms: 360 + -360 = 0
-216 + -60a + -80a2 + 25a3 + 6a4 = 0

The solution to this equation could not be determined.

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