54x^5+2x^2y^3=

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Solution for 54x^5+2x^2y^3= equation: 


Simplifying
54x5 + 2x2y3 = 0

Reorder the terms:
2x2y3 + 54x5 = 0

Solving
2x2y3 + 54x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(y3 + 27x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

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

Subproblem 2
Set the factor '(y3 + 27x3)' equal to zero and attempt to solve:

Simplifying
y3 + 27x3 = 0

Reorder the terms:
27x3 + y3 = 0

Solving
27x3 + y3 = 0

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

Add '-1y3' to each side of the equation.
27x3 + y3 + -1y3 = 0 + -1y3

Combine like terms: y3 + -1y3 = 0
27x3 + 0 = 0 + -1y3
27x3 = 0 + -1y3
Remove the zero:
27x3 = -1y3

Divide each side by '27'.
x3 = -0.03703703704y3

Simplifying
x3 = -0.03703703704y3

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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