2x^2(9x^3+3y^3)=

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Solution for 2x^2(9x^3+3y^3)= equation: 


Simplifying
2x2(9x3 + 3y3) = 0
(9x3 * 2x2 + 3y3 * 2x2) = 0

Reorder the terms:
(6x2y3 + 18x5) = 0
(6x2y3 + 18x5) = 0

Solving
6x2y3 + 18x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.
6x2(y3 + 3x3) = 0

Ignore the factor 6.

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 + 3x3)' equal to zero and attempt to solve:

Simplifying
y3 + 3x3 = 0

Reorder the terms:
3x3 + y3 = 0

Solving
3x3 + y3 = 0

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

Add '-1y3' to each side of the equation.
3x3 + y3 + -1y3 = 0 + -1y3

Combine like terms: y3 + -1y3 = 0
3x3 + 0 = 0 + -1y3
3x3 = 0 + -1y3
Remove the zero:
3x3 = -1y3

Divide each side by '3'.
x3 = -0.3333333333y3

Simplifying
x3 = -0.3333333333y3

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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