s(s+7)(s+9)(s+10)(s+15)=0

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Solution for s(s+7)(s+9)(s+10)(s+15)=0 equation:


Simplifying
s(s + 7)(s + 9)(s + 10)(s + 15) = 0

Reorder the terms:
s(7 + s)(s + 9)(s + 10)(s + 15) = 0

Reorder the terms:
s(7 + s)(9 + s)(s + 10)(s + 15) = 0

Reorder the terms:
s(7 + s)(9 + s)(10 + s)(s + 15) = 0

Reorder the terms:
s(7 + s)(9 + s)(10 + s)(15 + s) = 0

Multiply (7 + s) * (9 + s)
s(7(9 + s) + s(9 + s))(10 + s)(15 + s) = 0
s((9 * 7 + s * 7) + s(9 + s))(10 + s)(15 + s) = 0
s((63 + 7s) + s(9 + s))(10 + s)(15 + s) = 0
s(63 + 7s + (9 * s + s * s))(10 + s)(15 + s) = 0
s(63 + 7s + (9s + s2))(10 + s)(15 + s) = 0

Combine like terms: 7s + 9s = 16s
s(63 + 16s + s2)(10 + s)(15 + s) = 0

Multiply (63 + 16s + s2) * (10 + s)
s(63(10 + s) + 16s * (10 + s) + s2(10 + s))(15 + s) = 0
s((10 * 63 + s * 63) + 16s * (10 + s) + s2(10 + s))(15 + s) = 0
s((630 + 63s) + 16s * (10 + s) + s2(10 + s))(15 + s) = 0
s(630 + 63s + (10 * 16s + s * 16s) + s2(10 + s))(15 + s) = 0
s(630 + 63s + (160s + 16s2) + s2(10 + s))(15 + s) = 0
s(630 + 63s + 160s + 16s2 + (10 * s2 + s * s2))(15 + s) = 0
s(630 + 63s + 160s + 16s2 + (10s2 + s3))(15 + s) = 0

Combine like terms: 63s + 160s = 223s
s(630 + 223s + 16s2 + 10s2 + s3)(15 + s) = 0

Combine like terms: 16s2 + 10s2 = 26s2
s(630 + 223s + 26s2 + s3)(15 + s) = 0

Multiply (630 + 223s + 26s2 + s3) * (15 + s)
s(630(15 + s) + 223s * (15 + s) + 26s2 * (15 + s) + s3(15 + s)) = 0
s((15 * 630 + s * 630) + 223s * (15 + s) + 26s2 * (15 + s) + s3(15 + s)) = 0
s((9450 + 630s) + 223s * (15 + s) + 26s2 * (15 + s) + s3(15 + s)) = 0
s(9450 + 630s + (15 * 223s + s * 223s) + 26s2 * (15 + s) + s3(15 + s)) = 0
s(9450 + 630s + (3345s + 223s2) + 26s2 * (15 + s) + s3(15 + s)) = 0
s(9450 + 630s + 3345s + 223s2 + (15 * 26s2 + s * 26s2) + s3(15 + s)) = 0
s(9450 + 630s + 3345s + 223s2 + (390s2 + 26s3) + s3(15 + s)) = 0
s(9450 + 630s + 3345s + 223s2 + 390s2 + 26s3 + (15 * s3 + s * s3)) = 0
s(9450 + 630s + 3345s + 223s2 + 390s2 + 26s3 + (15s3 + s4)) = 0

Combine like terms: 630s + 3345s = 3975s
s(9450 + 3975s + 223s2 + 390s2 + 26s3 + 15s3 + s4) = 0

Combine like terms: 223s2 + 390s2 = 613s2
s(9450 + 3975s + 613s2 + 26s3 + 15s3 + s4) = 0

Combine like terms: 26s3 + 15s3 = 41s3
s(9450 + 3975s + 613s2 + 41s3 + s4) = 0
(9450 * s + 3975s * s + 613s2 * s + 41s3 * s + s4 * s) = 0
(9450s + 3975s2 + 613s3 + 41s4 + s5) = 0

Solving
9450s + 3975s2 + 613s3 + 41s4 + s5 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(9450 + 3975s + 613s2 + 41s3 + s4) = 0

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0

Subproblem 2

Set the factor '(9450 + 3975s + 613s2 + 41s3 + s4)' equal to zero and attempt to solve: Simplifying 9450 + 3975s + 613s2 + 41s3 + s4 = 0 Solving 9450 + 3975s + 613s2 + 41s3 + s4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

s = {0}

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