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Simplifying 15(x + 9)(x + 3)(x + 21) = 0 Reorder the terms: 15(9 + x)(x + 3)(x + 21) = 0 Reorder the terms: 15(9 + x)(3 + x)(x + 21) = 0 Reorder the terms: 15(9 + x)(3 + x)(21 + x) = 0 Multiply (9 + x) * (3 + x) 15(9(3 + x) + x(3 + x))(21 + x) = 0 15((3 * 9 + x * 9) + x(3 + x))(21 + x) = 0 15((27 + 9x) + x(3 + x))(21 + x) = 0 15(27 + 9x + (3 * x + x * x))(21 + x) = 0 15(27 + 9x + (3x + x2))(21 + x) = 0 Combine like terms: 9x + 3x = 12x 15(27 + 12x + x2)(21 + x) = 0 Multiply (27 + 12x + x2) * (21 + x) 15(27(21 + x) + 12x * (21 + x) + x2(21 + x)) = 0 15((21 * 27 + x * 27) + 12x * (21 + x) + x2(21 + x)) = 0 15((567 + 27x) + 12x * (21 + x) + x2(21 + x)) = 0 15(567 + 27x + (21 * 12x + x * 12x) + x2(21 + x)) = 0 15(567 + 27x + (252x + 12x2) + x2(21 + x)) = 0 15(567 + 27x + 252x + 12x2 + (21 * x2 + x * x2)) = 0 15(567 + 27x + 252x + 12x2 + (21x2 + x3)) = 0 Combine like terms: 27x + 252x = 279x 15(567 + 279x + 12x2 + 21x2 + x3) = 0 Combine like terms: 12x2 + 21x2 = 33x2 15(567 + 279x + 33x2 + x3) = 0 (567 * 15 + 279x * 15 + 33x2 * 15 + x3 * 15) = 0 (8505 + 4185x + 495x2 + 15x3) = 0 Solving 8505 + 4185x + 495x2 + 15x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15'. 15(567 + 279x + 33x2 + x3) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(567 + 279x + 33x2 + x3)' equal to zero and attempt to solve: Simplifying 567 + 279x + 33x2 + x3 = 0 Solving 567 + 279x + 33x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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