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Simplifying [(a + b)(a + b) + -4][(a + b)(a + b) + 4] = 0 Multiply (a + b) * (a + b) [(a(a + b) + b(a + b)) + -4][(a + b)(a + b) + 4] = 0 [((a * a + b * a) + b(a + b)) + -4][(a + b)(a + b) + 4] = 0 Reorder the terms: [((ab + a2) + b(a + b)) + -4][(a + b)(a + b) + 4] = 0 [((ab + a2) + b(a + b)) + -4][(a + b)(a + b) + 4] = 0 [(ab + a2 + (a * b + b * b)) + -4][(a + b)(a + b) + 4] = 0 [(ab + a2 + (ab + b2)) + -4][(a + b)(a + b) + 4] = 0 Reorder the terms: [(ab + ab + a2 + b2) + -4][(a + b)(a + b) + 4] = 0 Combine like terms: ab + ab = 2ab [(2ab + a2 + b2) + -4][(a + b)(a + b) + 4] = 0 Reorder the terms: [-4 + 2ab + a2 + b2][(a + b)(a + b) + 4] = 0 Multiply (a + b) * (a + b) [-4 + 2ab + a2 + b2][(a(a + b) + b(a + b)) + 4] = 0 [-4 + 2ab + a2 + b2][((a * a + b * a) + b(a + b)) + 4] = 0 Reorder the terms: [-4 + 2ab + a2 + b2][((ab + a2) + b(a + b)) + 4] = 0 [-4 + 2ab + a2 + b2][((ab + a2) + b(a + b)) + 4] = 0 [-4 + 2ab + a2 + b2][(ab + a2 + (a * b + b * b)) + 4] = 0 [-4 + 2ab + a2 + b2][(ab + a2 + (ab + b2)) + 4] = 0 Reorder the terms: [-4 + 2ab + a2 + b2][(ab + ab + a2 + b2) + 4] = 0 Combine like terms: ab + ab = 2ab [-4 + 2ab + a2 + b2][(2ab + a2 + b2) + 4] = 0 Reorder the terms: [-4 + 2ab + a2 + b2][4 + 2ab + a2 + b2] = 0 Multiply [-4 + 2ab + a2 + b2] * [4 + 2ab + a2 + b2] [-4[4 + 2ab + a2 + b2] + 2ab * [4 + 2ab + a2 + b2] + a2[4 + 2ab + a2 + b2] + b2[4 + 2ab + a2 + b2]] = 0 [[4 * -4 + 2ab * -4 + a2 * -4 + b2 * -4] + 2ab * [4 + 2ab + a2 + b2] + a2[4 + 2ab + a2 + b2] + b2[4 + 2ab + a2 + b2]] = 0 [[-16 + -8ab + -4a2 + -4b2] + 2ab * [4 + 2ab + a2 + b2] + a2[4 + 2ab + a2 + b2] + b2[4 + 2ab + a2 + b2]] = 0 [-16 + -8ab + -4a2 + -4b2 + [4 * 2ab + 2ab * 2ab + a2 * 2ab + b2 * 2ab] + a2[4 + 2ab + a2 + b2] + b2[4 + 2ab + a2 + b2]] = 0 Reorder the terms: [-16 + -8ab + -4a2 + -4b2 + [8ab + 2ab3 + 4a2b2 + 2a3b] + a2[4 + 2ab + a2 + b2] + b2[4 + 2ab + a2 + b2]] = 0 [-16 + -8ab + -4a2 + -4b2 + [8ab + 2ab3 + 4a2b2 + 2a3b] + a2[4 + 2ab + a2 + b2] + b2[4 + 2ab + a2 + b2]] = 0 [-16 + -8ab + -4a2 + -4b2 + 8ab + 2ab3 + 4a2b2 + 2a3b + [4 * a2 + 2ab * a2 + a2 * a2 + b2 * a2] + b2[4 + 2ab + a2 + b2]] = 0 Reorder the terms: [-16 + -8ab + -4a2 + -4b2 + 8ab + 2ab3 + 4a2b2 + 2a3b + [4a2 + a2b2 + 2a3b + a4] + b2[4 + 2ab + a2 + b2]] = 0 [-16 + -8ab + -4a2 + -4b2 + 8ab + 2ab3 + 4a2b2 + 2a3b + [4a2 + a2b2 + 2a3b + a4] + b2[4 + 2ab + a2 + b2]] = 0 [-16 + -8ab + -4a2 + -4b2 + 8ab + 2ab3 + 4a2b2 + 2a3b + 4a2 + a2b2 + 2a3b + a4 + [4 * b2 + 2ab * b2 + a2 * b2 + b2 * b2]] = 0 Reorder the terms: [-16 + -8ab + -4a2 + -4b2 + 8ab + 2ab3 + 4a2b2 + 2a3b + 4a2 + a2b2 + 2a3b + a4 + [2ab3 + a2b2 + 4b2 + b4]] = 0 [-16 + -8ab + -4a2 + -4b2 + 8ab + 2ab3 + 4a2b2 + 2a3b + 4a2 + a2b2 + 2a3b + a4 + [2ab3 + a2b2 + 4b2 + b4]] = 0 Reorder the terms: [-16 + -8ab + 8ab + 2ab3 + 2ab3 + -4a2 + 4a2 + 4a2b2 + a2b2 + a2b2 + 2a3b + 2a3b + a4 + -4b2 + 4b2 + b4] = 0 Combine like terms: -8ab + 8ab = 0 [-16 + 0 + 2ab3 + 2ab3 + -4a2 + 4a2 + 4a2b2 + a2b2 + a2b2 + 2a3b + 2a3b + a4 + -4b2 + 4b2 + b4] = 0 [-16 + 2ab3 + 2ab3 + -4a2 + 4a2 + 4a2b2 + a2b2 + a2b2 + 2a3b + 2a3b + a4 + -4b2 + 4b2 + b4] = 0 Combine like terms: 2ab3 + 2ab3 = 4ab3 [-16 + 4ab3 + -4a2 + 4a2 + 4a2b2 + a2b2 + a2b2 + 2a3b + 2a3b + a4 + -4b2 + 4b2 + b4] = 0 Combine like terms: -4a2 + 4a2 = 0 [-16 + 4ab3 + 0 + 4a2b2 + a2b2 + a2b2 + 2a3b + 2a3b + a4 + -4b2 + 4b2 + b4] = 0 [-16 + 4ab3 + 4a2b2 + a2b2 + a2b2 + 2a3b + 2a3b + a4 + -4b2 + 4b2 + b4] = 0 Combine like terms: 4a2b2 + a2b2 = 5a2b2 [-16 + 4ab3 + 5a2b2 + a2b2 + 2a3b + 2a3b + a4 + -4b2 + 4b2 + b4] = 0 Combine like terms: 5a2b2 + a2b2 = 6a2b2 [-16 + 4ab3 + 6a2b2 + 2a3b + 2a3b + a4 + -4b2 + 4b2 + b4] = 0 Combine like terms: 2a3b + 2a3b = 4a3b [-16 + 4ab3 + 6a2b2 + 4a3b + a4 + -4b2 + 4b2 + b4] = 0 Combine like terms: -4b2 + 4b2 = 0 [-16 + 4ab3 + 6a2b2 + 4a3b + a4 + 0 + b4] = 0 [-16 + 4ab3 + 6a2b2 + 4a3b + a4 + b4] = 0 Solving -16 + 4ab3 + 6a2b2 + 4a3b + a4 + b4 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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