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Simplifying (x + 1)(x + 3)(2x + 3)(2x + 5) + -945 = 0 Reorder the terms: (1 + x)(x + 3)(2x + 3)(2x + 5) + -945 = 0 Reorder the terms: (1 + x)(3 + x)(2x + 3)(2x + 5) + -945 = 0 Reorder the terms: (1 + x)(3 + x)(3 + 2x)(2x + 5) + -945 = 0 Reorder the terms: (1 + x)(3 + x)(3 + 2x)(5 + 2x) + -945 = 0 Multiply (1 + x) * (3 + x) (1(3 + x) + x(3 + x))(3 + 2x)(5 + 2x) + -945 = 0 ((3 * 1 + x * 1) + x(3 + x))(3 + 2x)(5 + 2x) + -945 = 0 ((3 + 1x) + x(3 + x))(3 + 2x)(5 + 2x) + -945 = 0 (3 + 1x + (3 * x + x * x))(3 + 2x)(5 + 2x) + -945 = 0 (3 + 1x + (3x + x2))(3 + 2x)(5 + 2x) + -945 = 0 Combine like terms: 1x + 3x = 4x (3 + 4x + x2)(3 + 2x)(5 + 2x) + -945 = 0 Multiply (3 + 4x + x2) * (3 + 2x) (3(3 + 2x) + 4x * (3 + 2x) + x2(3 + 2x))(5 + 2x) + -945 = 0 ((3 * 3 + 2x * 3) + 4x * (3 + 2x) + x2(3 + 2x))(5 + 2x) + -945 = 0 ((9 + 6x) + 4x * (3 + 2x) + x2(3 + 2x))(5 + 2x) + -945 = 0 (9 + 6x + (3 * 4x + 2x * 4x) + x2(3 + 2x))(5 + 2x) + -945 = 0 (9 + 6x + (12x + 8x2) + x2(3 + 2x))(5 + 2x) + -945 = 0 (9 + 6x + 12x + 8x2 + (3 * x2 + 2x * x2))(5 + 2x) + -945 = 0 (9 + 6x + 12x + 8x2 + (3x2 + 2x3))(5 + 2x) + -945 = 0 Combine like terms: 6x + 12x = 18x (9 + 18x + 8x2 + 3x2 + 2x3)(5 + 2x) + -945 = 0 Combine like terms: 8x2 + 3x2 = 11x2 (9 + 18x + 11x2 + 2x3)(5 + 2x) + -945 = 0 Multiply (9 + 18x + 11x2 + 2x3) * (5 + 2x) (9(5 + 2x) + 18x * (5 + 2x) + 11x2 * (5 + 2x) + 2x3 * (5 + 2x)) + -945 = 0 ((5 * 9 + 2x * 9) + 18x * (5 + 2x) + 11x2 * (5 + 2x) + 2x3 * (5 + 2x)) + -945 = 0 ((45 + 18x) + 18x * (5 + 2x) + 11x2 * (5 + 2x) + 2x3 * (5 + 2x)) + -945 = 0 (45 + 18x + (5 * 18x + 2x * 18x) + 11x2 * (5 + 2x) + 2x3 * (5 + 2x)) + -945 = 0 (45 + 18x + (90x + 36x2) + 11x2 * (5 + 2x) + 2x3 * (5 + 2x)) + -945 = 0 (45 + 18x + 90x + 36x2 + (5 * 11x2 + 2x * 11x2) + 2x3 * (5 + 2x)) + -945 = 0 (45 + 18x + 90x + 36x2 + (55x2 + 22x3) + 2x3 * (5 + 2x)) + -945 = 0 (45 + 18x + 90x + 36x2 + 55x2 + 22x3 + (5 * 2x3 + 2x * 2x3)) + -945 = 0 (45 + 18x + 90x + 36x2 + 55x2 + 22x3 + (10x3 + 4x4)) + -945 = 0 Combine like terms: 18x + 90x = 108x (45 + 108x + 36x2 + 55x2 + 22x3 + 10x3 + 4x4) + -945 = 0 Combine like terms: 36x2 + 55x2 = 91x2 (45 + 108x + 91x2 + 22x3 + 10x3 + 4x4) + -945 = 0 Combine like terms: 22x3 + 10x3 = 32x3 (45 + 108x + 91x2 + 32x3 + 4x4) + -945 = 0 Reorder the terms: 45 + -945 + 108x + 91x2 + 32x3 + 4x4 = 0 Combine like terms: 45 + -945 = -900 -900 + 108x + 91x2 + 32x3 + 4x4 = 0 Solving -900 + 108x + 91x2 + 32x3 + 4x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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