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Simplifying (x + 2)(2x + 3)(2x + 5)(x + 3) = 945 Reorder the terms: (2 + x)(2x + 3)(2x + 5)(x + 3) = 945 Reorder the terms: (2 + x)(3 + 2x)(2x + 5)(x + 3) = 945 Reorder the terms: (2 + x)(3 + 2x)(5 + 2x)(x + 3) = 945 Reorder the terms: (2 + x)(3 + 2x)(5 + 2x)(3 + x) = 945 Multiply (2 + x) * (3 + 2x) (2(3 + 2x) + x(3 + 2x))(5 + 2x)(3 + x) = 945 ((3 * 2 + 2x * 2) + x(3 + 2x))(5 + 2x)(3 + x) = 945 ((6 + 4x) + x(3 + 2x))(5 + 2x)(3 + x) = 945 (6 + 4x + (3 * x + 2x * x))(5 + 2x)(3 + x) = 945 (6 + 4x + (3x + 2x2))(5 + 2x)(3 + x) = 945 Combine like terms: 4x + 3x = 7x (6 + 7x + 2x2)(5 + 2x)(3 + x) = 945 Multiply (6 + 7x + 2x2) * (5 + 2x) (6(5 + 2x) + 7x * (5 + 2x) + 2x2 * (5 + 2x))(3 + x) = 945 ((5 * 6 + 2x * 6) + 7x * (5 + 2x) + 2x2 * (5 + 2x))(3 + x) = 945 ((30 + 12x) + 7x * (5 + 2x) + 2x2 * (5 + 2x))(3 + x) = 945 (30 + 12x + (5 * 7x + 2x * 7x) + 2x2 * (5 + 2x))(3 + x) = 945 (30 + 12x + (35x + 14x2) + 2x2 * (5 + 2x))(3 + x) = 945 (30 + 12x + 35x + 14x2 + (5 * 2x2 + 2x * 2x2))(3 + x) = 945 (30 + 12x + 35x + 14x2 + (10x2 + 4x3))(3 + x) = 945 Combine like terms: 12x + 35x = 47x (30 + 47x + 14x2 + 10x2 + 4x3)(3 + x) = 945 Combine like terms: 14x2 + 10x2 = 24x2 (30 + 47x + 24x2 + 4x3)(3 + x) = 945 Multiply (30 + 47x + 24x2 + 4x3) * (3 + x) (30(3 + x) + 47x * (3 + x) + 24x2 * (3 + x) + 4x3 * (3 + x)) = 945 ((3 * 30 + x * 30) + 47x * (3 + x) + 24x2 * (3 + x) + 4x3 * (3 + x)) = 945 ((90 + 30x) + 47x * (3 + x) + 24x2 * (3 + x) + 4x3 * (3 + x)) = 945 (90 + 30x + (3 * 47x + x * 47x) + 24x2 * (3 + x) + 4x3 * (3 + x)) = 945 (90 + 30x + (141x + 47x2) + 24x2 * (3 + x) + 4x3 * (3 + x)) = 945 (90 + 30x + 141x + 47x2 + (3 * 24x2 + x * 24x2) + 4x3 * (3 + x)) = 945 (90 + 30x + 141x + 47x2 + (72x2 + 24x3) + 4x3 * (3 + x)) = 945 (90 + 30x + 141x + 47x2 + 72x2 + 24x3 + (3 * 4x3 + x * 4x3)) = 945 (90 + 30x + 141x + 47x2 + 72x2 + 24x3 + (12x3 + 4x4)) = 945 Combine like terms: 30x + 141x = 171x (90 + 171x + 47x2 + 72x2 + 24x3 + 12x3 + 4x4) = 945 Combine like terms: 47x2 + 72x2 = 119x2 (90 + 171x + 119x2 + 24x3 + 12x3 + 4x4) = 945 Combine like terms: 24x3 + 12x3 = 36x3 (90 + 171x + 119x2 + 36x3 + 4x4) = 945 Solving 90 + 171x + 119x2 + 36x3 + 4x4 = 945 Solving for variable 'x'. Reorder the terms: 90 + -945 + 171x + 119x2 + 36x3 + 4x4 = 945 + -945 Combine like terms: 90 + -945 = -855 -855 + 171x + 119x2 + 36x3 + 4x4 = 945 + -945 Combine like terms: 945 + -945 = 0 -855 + 171x + 119x2 + 36x3 + 4x4 = 0 The solution to this equation could not be determined.
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