51x^333(-16+9x^2)=0

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Solution for 51x^333(-16+9x^2)=0 equation: 


Simplifying
51x333(-16 + 9x2) = 0
(-16 * 51x333 + 9x2 * 51x333) = 0
(-816x333 + 459x335) = 0

Solving
-816x333 + 459x335 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '51x333'.
51x333(-16 + 9x2) = 0

Factor a difference between two squares.
51x333((4 + 3x)(-4 + 3x)) = 0

Ignore the factor 51.

Subproblem 1
Set the factor 'x333' equal to zero and attempt to solve:

Simplifying
x333 = 0

Solving
x333 = 0

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

Simplifying
x333 = 0

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 '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 3
Set the factor '(-4 + 3x)' equal to zero and attempt to solve:

Simplifying
-4 + 3x = 0

Solving
-4 + 3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 0 + 4
3x = 0 + 4

Combine like terms: 0 + 4 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-1.333333333, 1.333333333}

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