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Simplifying (2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b) = 0 Multiply (2a + -3b) * (2a + -3b) (2a * (2a + -3b) + -3b * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b) = 0 ((2a * 2a + -3b * 2a) + -3b * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b) = 0 Reorder the terms: ((-6ab + 4a2) + -3b * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b) = 0 ((-6ab + 4a2) + -3b * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b) = 0 (-6ab + 4a2 + (2a * -3b + -3b * -3b))(2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b) = 0 (-6ab + 4a2 + (-6ab + 9b2))(2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b) = 0 Reorder the terms: (-6ab + -6ab + 4a2 + 9b2)(2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b) = 0 Combine like terms: -6ab + -6ab = -12ab (-12ab + 4a2 + 9b2)(2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b) = 0 Multiply (-12ab + 4a2 + 9b2) * (2a + -3b) (-12ab * (2a + -3b) + 4a2 * (2a + -3b) + 9b2 * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b) = 0 ((2a * -12ab + -3b * -12ab) + 4a2 * (2a + -3b) + 9b2 * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b) = 0 Reorder the terms: ((36ab2 + -24a2b) + 4a2 * (2a + -3b) + 9b2 * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b) = 0 ((36ab2 + -24a2b) + 4a2 * (2a + -3b) + 9b2 * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b) = 0 (36ab2 + -24a2b + (2a * 4a2 + -3b * 4a2) + 9b2 * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b) = 0 Reorder the terms: (36ab2 + -24a2b + (-12a2b + 8a3) + 9b2 * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b) = 0 (36ab2 + -24a2b + (-12a2b + 8a3) + 9b2 * (2a + -3b))(2a + -3b)(2a + -3b)(2a + -3b) = 0 (36ab2 + -24a2b + -12a2b + 8a3 + (2a * 9b2 + -3b * 9b2))(2a + -3b)(2a + -3b)(2a + -3b) = 0 (36ab2 + -24a2b + -12a2b + 8a3 + (18ab2 + -27b3))(2a + -3b)(2a + -3b)(2a + -3b) = 0 Reorder the terms: (36ab2 + 18ab2 + -24a2b + -12a2b + 8a3 + -27b3)(2a + -3b)(2a + -3b)(2a + -3b) = 0 Combine like terms: 36ab2 + 18ab2 = 54ab2 (54ab2 + -24a2b + -12a2b + 8a3 + -27b3)(2a + -3b)(2a + -3b)(2a + -3b) = 0 Combine like terms: -24a2b + -12a2b = -36a2b (54ab2 + -36a2b + 8a3 + -27b3)(2a + -3b)(2a + -3b)(2a + -3b) = 0 Multiply (54ab2 + -36a2b + 8a3 + -27b3) * (2a + -3b) (54ab2 * (2a + -3b) + -36a2b * (2a + -3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b))(2a + -3b)(2a + -3b) = 0 ((2a * 54ab2 + -3b * 54ab2) + -36a2b * (2a + -3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b))(2a + -3b)(2a + -3b) = 0 Reorder the terms: ((-162ab3 + 108a2b2) + -36a2b * (2a + -3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b))(2a + -3b)(2a + -3b) = 0 ((-162ab3 + 108a2b2) + -36a2b * (2a + -3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b))(2a + -3b)(2a + -3b) = 0 (-162ab3 + 108a2b2 + (2a * -36a2b + -3b * -36a2b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b))(2a + -3b)(2a + -3b) = 0 Reorder the terms: (-162ab3 + 108a2b2 + (108a2b2 + -72a3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b))(2a + -3b)(2a + -3b) = 0 (-162ab3 + 108a2b2 + (108a2b2 + -72a3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b))(2a + -3b)(2a + -3b) = 0 (-162ab3 + 108a2b2 + 108a2b2 + -72a3b + (2a * 8a3 + -3b * 8a3) + -27b3 * (2a + -3b))(2a + -3b)(2a + -3b) = 0 Reorder the terms: (-162ab3 + 108a2b2 + 108a2b2 + -72a3b + (-24a3b + 16a4) + -27b3 * (2a + -3b))(2a + -3b)(2a + -3b) = 0 (-162ab3 + 108a2b2 + 108a2b2 + -72a3b + (-24a3b + 16a4) + -27b3 * (2a + -3b))(2a + -3b)(2a + -3b) = 0 (-162ab3 + 108a2b2 + 108a2b2 + -72a3b + -24a3b + 16a4 + (2a * -27b3 + -3b * -27b3))(2a + -3b)(2a + -3b) = 0 (-162ab3 + 108a2b2 + 108a2b2 + -72a3b + -24a3b + 16a4 + (-54ab3 + 81b4))(2a + -3b)(2a + -3b) = 0 Reorder the terms: (-162ab3 + -54ab3 + 108a2b2 + 108a2b2 + -72a3b + -24a3b + 16a4 + 81b4)(2a + -3b)(2a + -3b) = 0 Combine like terms: -162ab3 + -54ab3 = -216ab3 (-216ab3 + 108a2b2 + 108a2b2 + -72a3b + -24a3b + 16a4 + 81b4)(2a + -3b)(2a + -3b) = 0 Combine like terms: 108a2b2 + 108a2b2 = 216a2b2 (-216ab3 + 216a2b2 + -72a3b + -24a3b + 16a4 + 81b4)(2a + -3b)(2a + -3b) = 0 Combine like terms: -72a3b + -24a3b = -96a3b (-216ab3 + 216a2b2 + -96a3b + 16a4 + 81b4)(2a + -3b)(2a + -3b) = 0 Multiply (-216ab3 + 216a2b2 + -96a3b + 16a4 + 81b4) * (2a + -3b) (-216ab3 * (2a + -3b) + 216a2b2 * (2a + -3b) + -96a3b * (2a + -3b) + 16a4 * (2a + -3b) + 81b4 * (2a + -3b))(2a + -3b) = 0 ((2a * -216ab3 + -3b * -216ab3) + 216a2b2 * (2a + -3b) + -96a3b * (2a + -3b) + 16a4 * (2a + -3b) + 81b4 * (2a + -3b))(2a + -3b) = 0 Reorder the terms: ((648ab4 + -432a2b3) + 216a2b2 * (2a + -3b) + -96a3b * (2a + -3b) + 16a4 * (2a + -3b) + 81b4 * (2a + -3b))(2a + -3b) = 0 ((648ab4 + -432a2b3) + 216a2b2 * (2a + -3b) + -96a3b * (2a + -3b) + 16a4 * (2a + -3b) + 81b4 * (2a + -3b))(2a + -3b) = 0 (648ab4 + -432a2b3 + (2a * 216a2b2 + -3b * 216a2b2) + -96a3b * (2a + -3b) + 16a4 * (2a + -3b) + 81b4 * (2a + -3b))(2a + -3b) = 0 Reorder the terms: (648ab4 + -432a2b3 + (-648a2b3 + 432a3b2) + -96a3b * (2a + -3b) + 16a4 * (2a + -3b) + 81b4 * (2a + -3b))(2a + -3b) = 0 (648ab4 + -432a2b3 + (-648a2b3 + 432a3b2) + -96a3b * (2a + -3b) + 16a4 * (2a + -3b) + 81b4 * (2a + -3b))(2a + -3b) = 0 (648ab4 + -432a2b3 + -648a2b3 + 432a3b2 + (2a * -96a3b + -3b * -96a3b) + 16a4 * (2a + -3b) + 81b4 * (2a + -3b))(2a + -3b) = 0 Reorder the terms: (648ab4 + -432a2b3 + -648a2b3 + 432a3b2 + (288a3b2 + -192a4b) + 16a4 * (2a + -3b) + 81b4 * (2a + -3b))(2a + -3b) = 0 (648ab4 + -432a2b3 + -648a2b3 + 432a3b2 + (288a3b2 + -192a4b) + 16a4 * (2a + -3b) + 81b4 * (2a + -3b))(2a + -3b) = 0 (648ab4 + -432a2b3 + -648a2b3 + 432a3b2 + 288a3b2 + -192a4b + (2a * 16a4 + -3b * 16a4) + 81b4 * (2a + -3b))(2a + -3b) = 0 Reorder the terms: (648ab4 + -432a2b3 + -648a2b3 + 432a3b2 + 288a3b2 + -192a4b + (-48a4b + 32a5) + 81b4 * (2a + -3b))(2a + -3b) = 0 (648ab4 + -432a2b3 + -648a2b3 + 432a3b2 + 288a3b2 + -192a4b + (-48a4b + 32a5) + 81b4 * (2a + -3b))(2a + -3b) = 0 (648ab4 + -432a2b3 + -648a2b3 + 432a3b2 + 288a3b2 + -192a4b + -48a4b + 32a5 + (2a * 81b4 + -3b * 81b4))(2a + -3b) = 0 (648ab4 + -432a2b3 + -648a2b3 + 432a3b2 + 288a3b2 + -192a4b + -48a4b + 32a5 + (162ab4 + -243b5))(2a + -3b) = 0 Reorder the terms: (648ab4 + 162ab4 + -432a2b3 + -648a2b3 + 432a3b2 + 288a3b2 + -192a4b + -48a4b + 32a5 + -243b5)(2a + -3b) = 0 Combine like terms: 648ab4 + 162ab4 = 810ab4 (810ab4 + -432a2b3 + -648a2b3 + 432a3b2 + 288a3b2 + -192a4b + -48a4b + 32a5 + -243b5)(2a + -3b) = 0 Combine like terms: -432a2b3 + -648a2b3 = -1080a2b3 (810ab4 + -1080a2b3 + 432a3b2 + 288a3b2 + -192a4b + -48a4b + 32a5 + -243b5)(2a + -3b) = 0 Combine like terms: 432a3b2 + 288a3b2 = 720a3b2 (810ab4 + -1080a2b3 + 720a3b2 + -192a4b + -48a4b + 32a5 + -243b5)(2a + -3b) = 0 Combine like terms: -192a4b + -48a4b = -240a4b (810ab4 + -1080a2b3 + 720a3b2 + -240a4b + 32a5 + -243b5)(2a + -3b) = 0 Multiply (810ab4 + -1080a2b3 + 720a3b2 + -240a4b + 32a5 + -243b5) * (2a + -3b) (810ab4 * (2a + -3b) + -1080a2b3 * (2a + -3b) + 720a3b2 * (2a + -3b) + -240a4b * (2a + -3b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 ((2a * 810ab4 + -3b * 810ab4) + -1080a2b3 * (2a + -3b) + 720a3b2 * (2a + -3b) + -240a4b * (2a + -3b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 Reorder the terms: ((-2430ab5 + 1620a2b4) + -1080a2b3 * (2a + -3b) + 720a3b2 * (2a + -3b) + -240a4b * (2a + -3b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 ((-2430ab5 + 1620a2b4) + -1080a2b3 * (2a + -3b) + 720a3b2 * (2a + -3b) + -240a4b * (2a + -3b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 (-2430ab5 + 1620a2b4 + (2a * -1080a2b3 + -3b * -1080a2b3) + 720a3b2 * (2a + -3b) + -240a4b * (2a + -3b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 Reorder the terms: (-2430ab5 + 1620a2b4 + (3240a2b4 + -2160a3b3) + 720a3b2 * (2a + -3b) + -240a4b * (2a + -3b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 (-2430ab5 + 1620a2b4 + (3240a2b4 + -2160a3b3) + 720a3b2 * (2a + -3b) + -240a4b * (2a + -3b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + (2a * 720a3b2 + -3b * 720a3b2) + -240a4b * (2a + -3b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 Reorder the terms: (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + (-2160a3b3 + 1440a4b2) + -240a4b * (2a + -3b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + (-2160a3b3 + 1440a4b2) + -240a4b * (2a + -3b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + (2a * -240a4b + -3b * -240a4b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 Reorder the terms: (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + (720a4b2 + -480a5b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + (720a4b2 + -480a5b) + 32a5 * (2a + -3b) + -243b5 * (2a + -3b)) = 0 (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + 720a4b2 + -480a5b + (2a * 32a5 + -3b * 32a5) + -243b5 * (2a + -3b)) = 0 Reorder the terms: (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + 720a4b2 + -480a5b + (-96a5b + 64a6) + -243b5 * (2a + -3b)) = 0 (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + 720a4b2 + -480a5b + (-96a5b + 64a6) + -243b5 * (2a + -3b)) = 0 (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + 720a4b2 + -480a5b + -96a5b + 64a6 + (2a * -243b5 + -3b * -243b5)) = 0 (-2430ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + 720a4b2 + -480a5b + -96a5b + 64a6 + (-486ab5 + 729b6)) = 0 Reorder the terms: (-2430ab5 + -486ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + 720a4b2 + -480a5b + -96a5b + 64a6 + 729b6) = 0 Combine like terms: -2430ab5 + -486ab5 = -2916ab5 (-2916ab5 + 1620a2b4 + 3240a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + 720a4b2 + -480a5b + -96a5b + 64a6 + 729b6) = 0 Combine like terms: 1620a2b4 + 3240a2b4 = 4860a2b4 (-2916ab5 + 4860a2b4 + -2160a3b3 + -2160a3b3 + 1440a4b2 + 720a4b2 + -480a5b + -96a5b + 64a6 + 729b6) = 0 Combine like terms: -2160a3b3 + -2160a3b3 = -4320a3b3 (-2916ab5 + 4860a2b4 + -4320a3b3 + 1440a4b2 + 720a4b2 + -480a5b + -96a5b + 64a6 + 729b6) = 0 Combine like terms: 1440a4b2 + 720a4b2 = 2160a4b2 (-2916ab5 + 4860a2b4 + -4320a3b3 + 2160a4b2 + -480a5b + -96a5b + 64a6 + 729b6) = 0 Combine like terms: -480a5b + -96a5b = -576a5b (-2916ab5 + 4860a2b4 + -4320a3b3 + 2160a4b2 + -576a5b + 64a6 + 729b6) = 0 Solving -2916ab5 + 4860a2b4 + -4320a3b3 + 2160a4b2 + -576a5b + 64a6 + 729b6 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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