Question

(x+4)(x+7)(x+8)(x+11)+20=0

Answer 1

Simplifying (x + 8)(x + 7)(x + 4)(x + 11) + 20 = 0 Reorder the terms: (8 + x)(x + 7)(x + 4)(x + 11) + 20 = 0 Reorder the terms: (8 + x)(7 + x)(x + 4)(x + 11) + 20 = 0 Reorder the terms: (8 + x)(7 + x)(4 + x)(x + 11) + 20 = 0 Reorder the terms: (8 + x)(7 + x)(4 + x)(11 + x) + 20 = 0 Multiply (8 + x) * (7 + x) (8(7 + x) + x(7 + x))(4 + x)(11 + x) + 20 = 0 ((7 * 8 + x * 8) + x(7 + x))(4 + x)(11 + x) + 20 = 0 ((56 + 8x) + x(7 + x))(4 + x)(11 + x) + 20 = 0 (56 + 8x + (7 * x + x * x))(4 + x)(11 + x) + 20 = 0 (56 + 8x + (7x + x2))(4 + x)(11 + x) + 20 = 0 Combine like terms: 8x + 7x = 15x (56 + 15x + x2)(4 + x)(11 + x) + 20 = 0 Multiply (56 + 15x + x2) * (4 + x) (56(4 + x) + 15x * (4 + x) + x2(4 + x))(11 + x) + 20 = 0 ((4 * 56 + x * 56) + 15x * (4 + x) + x2(4 + x))(11 + x) + 20 = 0 ((224 + 56x) + 15x * (4 + x) + x2(4 + x))(11 + x) + 20 = 0 (224 + 56x + (4 * 15x + x * 15x) + x2(4 + x))(11 + x) + 20 = 0 (224 + 56x + (60x + 15x2) + x2(4 + x))(11 + x) + 20 = 0 (224 + 56x + 60x + 15x2 + (4 * x2 + x * x2))(11 + x) + 20 = 0 (224 + 56x + 60x + 15x2 + (4x2 + x3))(11 + x) + 20 = 0 Combine like terms: 56x + 60x = 116x (224 + 116x + 15x2 + 4x2 + x3)(11 + x) + 20 = 0 Combine like terms: 15x2 + 4x2 = 19x2 (224 + 116x + 19x2 + x3)(11 + x) + 20 = 0 Multiply (224 + 116x + 19x2 + x3) * (11 + x) (224(11 + x) + 116x * (11 + x) + 19x2 * (11 + x) + x3(11 + x)) + 20 = 0 ((11 * 224 + x * 224) + 116x * (11 + x) + 19x2 * (11 + x) + x3(11 + x)) + 20 = 0 ((2464 + 224x) + 116x * (11 + x) + 19x2 * (11 + x) + x3(11 + x)) + 20 = 0 (2464 + 224x + (11 * 116x + x * 116x) + 19x2 * (11 + x) + x3(11 + x)) + 20 = 0 (2464 + 224x + (1276x + 116x2) + 19x2 * (11 + x) + x3(11 + x)) + 20 = 0 (2464 + 224x + 1276x + 116x2 + (11 * 19x2 + x * 19x2) + x3(11 + x)) + 20 = 0 (2464 + 224x + 1276x + 116x2 + (209x2 + 19x3) + x3(11 + x)) + 20 = 0 (2464 + 224x + 1276x + 116x2 + 209x2 + 19x3 + (11 * x3 + x * x3)) + 20 = 0 (2464 + 224x + 1276x + 116x2 + 209x2 + 19x3 + (11x3 + x4)) + 20 = 0 Combine like terms: 224x + 1276x = 1500x (2464 + 1500x + 116x2 + 209x2 + 19x3 + 11x3 + x4) + 20 = 0 Combine like terms: 116x2 + 209x2 = 325x2 (2464 + 1500x + 325x2 + 19x3 + 11x3 + x4) + 20 = 0 Combine like terms: 19x3 + 11x3 = 30x3 (2464 + 1500x + 325x2 + 30x3 + x4) + 20 = 0 Reorder the terms: 2464 + 20 + 1500x + 325x2 + 30x3 + x4 = 0 Combine like terms: 2464 + 20 = 2484 2484 + 1500x + 325x2 + 30x3 + x4 = 0 Solving 2484 + 1500x + 325x2 + 30x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.