(n^3+2)(n^3-10)=

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Solution for (n^3+2)(n^3-10)= equation: 


Simplifying
(n3 + 2)(n3 + -10) = 0

Reorder the terms:
(2 + n3)(n3 + -10) = 0

Reorder the terms:
(2 + n3)(-10 + n3) = 0

Multiply (2 + n3) * (-10 + n3)
(2(-10 + n3) + n3(-10 + n3)) = 0
((-10 * 2 + n3 * 2) + n3(-10 + n3)) = 0
((-20 + 2n3) + n3(-10 + n3)) = 0
(-20 + 2n3 + (-10 * n3 + n3 * n3)) = 0
(-20 + 2n3 + (-10n3 + n6)) = 0

Combine like terms: 2n3 + -10n3 = -8n3
(-20 + -8n3 + n6) = 0

Solving
-20 + -8n3 + n6 = 0

Solving for variable 'n'.

Factor a trinomial.
(-2 + -1n3)(10 + -1n3) = 0


Subproblem 1
Set the factor '(-2 + -1n3)' equal to zero and attempt to solve:

Simplifying
-2 + -1n3 = 0

Solving
-2 + -1n3 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1n3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1n3 = 0 + 2
-1n3 = 0 + 2

Combine like terms: 0 + 2 = 2
-1n3 = 2

Divide each side by '-1'.
n3 = -2

Simplifying
n3 = -2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(10 + -1n3)' equal to zero and attempt to solve:

Simplifying
10 + -1n3 = 0

Solving
10 + -1n3 = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1n3 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1n3 = 0 + -10
-1n3 = 0 + -10

Combine like terms: 0 + -10 = -10
-1n3 = -10

Divide each side by '-1'.
n3 = 10

Simplifying
n3 = 10

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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