5(2n+11)(2n+11)(n+5)(n+5)=0

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Solution for 5(2n+11)(2n+11)(n+5)(n+5)=0 equation: 


Simplifying
5(2n + 11)(2n + 11)(n + 5)(n + 5) = 0

Reorder the terms:
5(11 + 2n)(2n + 11)(n + 5)(n + 5) = 0

Reorder the terms:
5(11 + 2n)(11 + 2n)(n + 5)(n + 5) = 0

Reorder the terms:
5(11 + 2n)(11 + 2n)(5 + n)(n + 5) = 0

Reorder the terms:
5(11 + 2n)(11 + 2n)(5 + n)(5 + n) = 0

Multiply (11 + 2n) * (11 + 2n)
5(11(11 + 2n) + 2n * (11 + 2n))(5 + n)(5 + n) = 0
5((11 * 11 + 2n * 11) + 2n * (11 + 2n))(5 + n)(5 + n) = 0
5((121 + 22n) + 2n * (11 + 2n))(5 + n)(5 + n) = 0
5(121 + 22n + (11 * 2n + 2n * 2n))(5 + n)(5 + n) = 0
5(121 + 22n + (22n + 4n2))(5 + n)(5 + n) = 0

Combine like terms: 22n + 22n = 44n
5(121 + 44n + 4n2)(5 + n)(5 + n) = 0

Multiply (121 + 44n + 4n2) * (5 + n)
5(121(5 + n) + 44n * (5 + n) + 4n2 * (5 + n))(5 + n) = 0
5((5 * 121 + n * 121) + 44n * (5 + n) + 4n2 * (5 + n))(5 + n) = 0
5((605 + 121n) + 44n * (5 + n) + 4n2 * (5 + n))(5 + n) = 0
5(605 + 121n + (5 * 44n + n * 44n) + 4n2 * (5 + n))(5 + n) = 0
5(605 + 121n + (220n + 44n2) + 4n2 * (5 + n))(5 + n) = 0
5(605 + 121n + 220n + 44n2 + (5 * 4n2 + n * 4n2))(5 + n) = 0
5(605 + 121n + 220n + 44n2 + (20n2 + 4n3))(5 + n) = 0

Combine like terms: 121n + 220n = 341n
5(605 + 341n + 44n2 + 20n2 + 4n3)(5 + n) = 0

Combine like terms: 44n2 + 20n2 = 64n2
5(605 + 341n + 64n2 + 4n3)(5 + n) = 0

Multiply (605 + 341n + 64n2 + 4n3) * (5 + n)
5(605(5 + n) + 341n * (5 + n) + 64n2 * (5 + n) + 4n3 * (5 + n)) = 0
5((5 * 605 + n * 605) + 341n * (5 + n) + 64n2 * (5 + n) + 4n3 * (5 + n)) = 0
5((3025 + 605n) + 341n * (5 + n) + 64n2 * (5 + n) + 4n3 * (5 + n)) = 0
5(3025 + 605n + (5 * 341n + n * 341n) + 64n2 * (5 + n) + 4n3 * (5 + n)) = 0
5(3025 + 605n + (1705n + 341n2) + 64n2 * (5 + n) + 4n3 * (5 + n)) = 0
5(3025 + 605n + 1705n + 341n2 + (5 * 64n2 + n * 64n2) + 4n3 * (5 + n)) = 0
5(3025 + 605n + 1705n + 341n2 + (320n2 + 64n3) + 4n3 * (5 + n)) = 0
5(3025 + 605n + 1705n + 341n2 + 320n2 + 64n3 + (5 * 4n3 + n * 4n3)) = 0
5(3025 + 605n + 1705n + 341n2 + 320n2 + 64n3 + (20n3 + 4n4)) = 0

Combine like terms: 605n + 1705n = 2310n
5(3025 + 2310n + 341n2 + 320n2 + 64n3 + 20n3 + 4n4) = 0

Combine like terms: 341n2 + 320n2 = 661n2
5(3025 + 2310n + 661n2 + 64n3 + 20n3 + 4n4) = 0

Combine like terms: 64n3 + 20n3 = 84n3
5(3025 + 2310n + 661n2 + 84n3 + 4n4) = 0
(3025 * 5 + 2310n * 5 + 661n2 * 5 + 84n3 * 5 + 4n4 * 5) = 0
(15125 + 11550n + 3305n2 + 420n3 + 20n4) = 0

Solving
15125 + 11550n + 3305n2 + 420n3 + 20n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3025 + 2310n + 661n2 + 84n3 + 4n4) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(3025 + 2310n + 661n2 + 84n3 + 4n4)' equal to zero and attempt to solve:

Simplifying
3025 + 2310n + 661n2 + 84n3 + 4n4 = 0

Solving
3025 + 2310n + 661n2 + 84n3 + 4n4 = 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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