20(s+2)(s+3)(s+6)(s+8)=0

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Solution for 20(s+2)(s+3)(s+6)(s+8)=0 equation: 


Simplifying
20(s + 2)(s + 3)(s + 6)(s + 8) = 0

Reorder the terms:
20(2 + s)(s + 3)(s + 6)(s + 8) = 0

Reorder the terms:
20(2 + s)(3 + s)(s + 6)(s + 8) = 0

Reorder the terms:
20(2 + s)(3 + s)(6 + s)(s + 8) = 0

Reorder the terms:
20(2 + s)(3 + s)(6 + s)(8 + s) = 0

Multiply (2 + s) * (3 + s)
20(2(3 + s) + s(3 + s))(6 + s)(8 + s) = 0
20((3 * 2 + s * 2) + s(3 + s))(6 + s)(8 + s) = 0
20((6 + 2s) + s(3 + s))(6 + s)(8 + s) = 0
20(6 + 2s + (3 * s + s * s))(6 + s)(8 + s) = 0
20(6 + 2s + (3s + s2))(6 + s)(8 + s) = 0

Combine like terms: 2s + 3s = 5s
20(6 + 5s + s2)(6 + s)(8 + s) = 0

Multiply (6 + 5s + s2) * (6 + s)
20(6(6 + s) + 5s * (6 + s) + s2(6 + s))(8 + s) = 0
20((6 * 6 + s * 6) + 5s * (6 + s) + s2(6 + s))(8 + s) = 0
20((36 + 6s) + 5s * (6 + s) + s2(6 + s))(8 + s) = 0
20(36 + 6s + (6 * 5s + s * 5s) + s2(6 + s))(8 + s) = 0
20(36 + 6s + (30s + 5s2) + s2(6 + s))(8 + s) = 0
20(36 + 6s + 30s + 5s2 + (6 * s2 + s * s2))(8 + s) = 0
20(36 + 6s + 30s + 5s2 + (6s2 + s3))(8 + s) = 0

Combine like terms: 6s + 30s = 36s
20(36 + 36s + 5s2 + 6s2 + s3)(8 + s) = 0

Combine like terms: 5s2 + 6s2 = 11s2
20(36 + 36s + 11s2 + s3)(8 + s) = 0

Multiply (36 + 36s + 11s2 + s3) * (8 + s)
20(36(8 + s) + 36s * (8 + s) + 11s2 * (8 + s) + s3(8 + s)) = 0
20((8 * 36 + s * 36) + 36s * (8 + s) + 11s2 * (8 + s) + s3(8 + s)) = 0
20((288 + 36s) + 36s * (8 + s) + 11s2 * (8 + s) + s3(8 + s)) = 0
20(288 + 36s + (8 * 36s + s * 36s) + 11s2 * (8 + s) + s3(8 + s)) = 0
20(288 + 36s + (288s + 36s2) + 11s2 * (8 + s) + s3(8 + s)) = 0
20(288 + 36s + 288s + 36s2 + (8 * 11s2 + s * 11s2) + s3(8 + s)) = 0
20(288 + 36s + 288s + 36s2 + (88s2 + 11s3) + s3(8 + s)) = 0
20(288 + 36s + 288s + 36s2 + 88s2 + 11s3 + (8 * s3 + s * s3)) = 0
20(288 + 36s + 288s + 36s2 + 88s2 + 11s3 + (8s3 + s4)) = 0

Combine like terms: 36s + 288s = 324s
20(288 + 324s + 36s2 + 88s2 + 11s3 + 8s3 + s4) = 0

Combine like terms: 36s2 + 88s2 = 124s2
20(288 + 324s + 124s2 + 11s3 + 8s3 + s4) = 0

Combine like terms: 11s3 + 8s3 = 19s3
20(288 + 324s + 124s2 + 19s3 + s4) = 0
(288 * 20 + 324s * 20 + 124s2 * 20 + 19s3 * 20 + s4 * 20) = 0
(5760 + 6480s + 2480s2 + 380s3 + 20s4) = 0

Solving
5760 + 6480s + 2480s2 + 380s3 + 20s4 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '20'.
20(288 + 324s + 124s2 + 19s3 + s4) = 0

Ignore the factor 20.

Subproblem 1
Set the factor '(288 + 324s + 124s2 + 19s3 + s4)' equal to zero and attempt to solve:

Simplifying
288 + 324s + 124s2 + 19s3 + s4 = 0

Solving
288 + 324s + 124s2 + 19s3 + s4 = 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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