17n*n*n+8n*n=0(n*n*n*n)

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Solution for 17n*n*n+8n*n=0(n*n*n*n) equation: 


Simplifying
17n * n * n + 8n * n = 0(n * n * n * n)

Multiply n * n
17n2 * n + 8n * n = 0(n * n * n * n)

Multiply n2 * n
17n3 + 8n * n = 0(n * n * n * n)

Multiply n * n
17n3 + 8n2 = 0(n * n * n * n)

Reorder the terms:
8n2 + 17n3 = 0(n * n * n * n)

Multiply n * n
8n2 + 17n3 = 0(n2 * n * n)

Multiply n2 * n
8n2 + 17n3 = 0(n3 * n)

Multiply n3 * n
8n2 + 17n3 = 0(n4)

Anything times zero is zero.
8n2 + 17n3 = 0n4

Solving
8n2 + 17n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n2'.
n2(8 + 17n) = 0


Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve:

Simplifying
n2 = 0

Solving
n2 = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n2 = 0

Take the square root of each side:
n = {0}

Subproblem 2
Set the factor '(8 + 17n)' equal to zero and attempt to solve:

Simplifying
8 + 17n = 0

Solving
8 + 17n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 17n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 17n = 0 + -8
17n = 0 + -8

Combine like terms: 0 + -8 = -8
17n = -8

Divide each side by '17'.
n = -0.4705882353

Simplifying
n = -0.4705882353
Solution
n = {0, -0.4705882353}

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