21x^3=28xy

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Solution for 21x^3=28xy equation: 


Simplifying
21x3 = 28xy

Solving
21x3 = 28xy

Solving for variable 'x'.

Reorder the terms:
-28xy + 21x3 = 28xy + -28xy

Combine like terms: 28xy + -28xy = 0
-28xy + 21x3 = 0

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-4y + 3x2) = 0

Ignore the factor 7.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-4y + 3x2)' equal to zero and attempt to solve:

Simplifying
-4y + 3x2 = 0

Reorder the terms:
3x2 + -4y = 0

Solving
3x2 + -4y = 0

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

Add '4y' to each side of the equation.
3x2 + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
3x2 + 0 = 0 + 4y
3x2 = 0 + 4y
Remove the zero:
3x2 = 4y

Divide each side by '3'.
x2 = 1.333333333y

Simplifying
x2 = 1.333333333y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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