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Simplifying (2a + -3b)(2a + -3b)(2a + -3b)(2a + -3b) = 0 Multiply (2a + -3b) * (2a + -3b) (2a * (2a + -3b) + -3b * (2a + -3b))(2a + -3b)(2a + -3b) = 0 ((2a * 2a + -3b * 2a) + -3b * (2a + -3b))(2a + -3b)(2a + -3b) = 0 Reorder the terms: ((-6ab + 4a2) + -3b * (2a + -3b))(2a + -3b)(2a + -3b) = 0 ((-6ab + 4a2) + -3b * (2a + -3b))(2a + -3b)(2a + -3b) = 0 (-6ab + 4a2 + (2a * -3b + -3b * -3b))(2a + -3b)(2a + -3b) = 0 (-6ab + 4a2 + (-6ab + 9b2))(2a + -3b)(2a + -3b) = 0 Reorder the terms: (-6ab + -6ab + 4a2 + 9b2)(2a + -3b)(2a + -3b) = 0 Combine like terms: -6ab + -6ab = -12ab (-12ab + 4a2 + 9b2)(2a + -3b)(2a + -3b) = 0 Multiply (-12ab + 4a2 + 9b2) * (2a + -3b) (-12ab * (2a + -3b) + 4a2 * (2a + -3b) + 9b2 * (2a + -3b))(2a + -3b) = 0 ((2a * -12ab + -3b * -12ab) + 4a2 * (2a + -3b) + 9b2 * (2a + -3b))(2a + -3b) = 0 Reorder the terms: ((36ab2 + -24a2b) + 4a2 * (2a + -3b) + 9b2 * (2a + -3b))(2a + -3b) = 0 ((36ab2 + -24a2b) + 4a2 * (2a + -3b) + 9b2 * (2a + -3b))(2a + -3b) = 0 (36ab2 + -24a2b + (2a * 4a2 + -3b * 4a2) + 9b2 * (2a + -3b))(2a + -3b) = 0 Reorder the terms: (36ab2 + -24a2b + (-12a2b + 8a3) + 9b2 * (2a + -3b))(2a + -3b) = 0 (36ab2 + -24a2b + (-12a2b + 8a3) + 9b2 * (2a + -3b))(2a + -3b) = 0 (36ab2 + -24a2b + -12a2b + 8a3 + (2a * 9b2 + -3b * 9b2))(2a + -3b) = 0 (36ab2 + -24a2b + -12a2b + 8a3 + (18ab2 + -27b3))(2a + -3b) = 0 Reorder the terms: (36ab2 + 18ab2 + -24a2b + -12a2b + 8a3 + -27b3)(2a + -3b) = 0 Combine like terms: 36ab2 + 18ab2 = 54ab2 (54ab2 + -24a2b + -12a2b + 8a3 + -27b3)(2a + -3b) = 0 Combine like terms: -24a2b + -12a2b = -36a2b (54ab2 + -36a2b + 8a3 + -27b3)(2a + -3b) = 0 Multiply (54ab2 + -36a2b + 8a3 + -27b3) * (2a + -3b) (54ab2 * (2a + -3b) + -36a2b * (2a + -3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b)) = 0 ((2a * 54ab2 + -3b * 54ab2) + -36a2b * (2a + -3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b)) = 0 Reorder the terms: ((-162ab3 + 108a2b2) + -36a2b * (2a + -3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b)) = 0 ((-162ab3 + 108a2b2) + -36a2b * (2a + -3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b)) = 0 (-162ab3 + 108a2b2 + (2a * -36a2b + -3b * -36a2b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b)) = 0 Reorder the terms: (-162ab3 + 108a2b2 + (108a2b2 + -72a3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b)) = 0 (-162ab3 + 108a2b2 + (108a2b2 + -72a3b) + 8a3 * (2a + -3b) + -27b3 * (2a + -3b)) = 0 (-162ab3 + 108a2b2 + 108a2b2 + -72a3b + (2a * 8a3 + -3b * 8a3) + -27b3 * (2a + -3b)) = 0 Reorder the terms: (-162ab3 + 108a2b2 + 108a2b2 + -72a3b + (-24a3b + 16a4) + -27b3 * (2a + -3b)) = 0 (-162ab3 + 108a2b2 + 108a2b2 + -72a3b + (-24a3b + 16a4) + -27b3 * (2a + -3b)) = 0 (-162ab3 + 108a2b2 + 108a2b2 + -72a3b + -24a3b + 16a4 + (2a * -27b3 + -3b * -27b3)) = 0 (-162ab3 + 108a2b2 + 108a2b2 + -72a3b + -24a3b + 16a4 + (-54ab3 + 81b4)) = 0 Reorder the terms: (-162ab3 + -54ab3 + 108a2b2 + 108a2b2 + -72a3b + -24a3b + 16a4 + 81b4) = 0 Combine like terms: -162ab3 + -54ab3 = -216ab3 (-216ab3 + 108a2b2 + 108a2b2 + -72a3b + -24a3b + 16a4 + 81b4) = 0 Combine like terms: 108a2b2 + 108a2b2 = 216a2b2 (-216ab3 + 216a2b2 + -72a3b + -24a3b + 16a4 + 81b4) = 0 Combine like terms: -72a3b + -24a3b = -96a3b (-216ab3 + 216a2b2 + -96a3b + 16a4 + 81b4) = 0 Solving -216ab3 + 216a2b2 + -96a3b + 16a4 + 81b4 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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