3xn^4-27x^3=

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Solution for 3xn^4-27x^3= equation: 


Simplifying
3xn4 + -27x3 = 0

Solving
3n4x + -27x3 = 0

Solving for variable 'n'.

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

Add '27x3' to each side of the equation.
3n4x + -27x3 + 27x3 = 0 + 27x3

Combine like terms: -27x3 + 27x3 = 0
3n4x + 0 = 0 + 27x3
3n4x = 0 + 27x3
Remove the zero:
3n4x = 27x3

Divide each side by '3x'.
n4 = 9x2

Simplifying
n4 = 9x2

Combine like terms: 9x2 + -9x2 = 0
n4 + -9x2 = 0

Factor a difference between two squares.
(n2 + 3x)(n2 + -3x) = 0


Subproblem 1
Set the factor '(n2 + 3x)' equal to zero and attempt to solve:

Simplifying
n2 + 3x = 0

Solving
n2 + 3x = 0

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

Add '-3x' to each side of the equation.
n2 + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
n2 + 0 = 0 + -3x
n2 = 0 + -3x
Remove the zero:
n2 = -3x

Simplifying
n2 = -3x

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 '(n2 + -3x)' equal to zero and attempt to solve:

Simplifying
n2 + -3x = 0

Solving
n2 + -3x = 0

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

Add '3x' to each side of the equation.
n2 + -3x + 3x = 0 + 3x

Combine like terms: -3x + 3x = 0
n2 + 0 = 0 + 3x
n2 = 0 + 3x
Remove the zero:
n2 = 3x

Simplifying
n2 = 3x

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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