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

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


Simplifying
(2x2 + 3y3)(2x2 + -3y3) = 0

Multiply (2x2 + 3y3) * (2x2 + -3y3)
(2x2 * (2x2 + -3y3) + 3y3 * (2x2 + -3y3)) = 0
((2x2 * 2x2 + -3y3 * 2x2) + 3y3 * (2x2 + -3y3)) = 0

Reorder the terms:
((-6x2y3 + 4x4) + 3y3 * (2x2 + -3y3)) = 0
((-6x2y3 + 4x4) + 3y3 * (2x2 + -3y3)) = 0
(-6x2y3 + 4x4 + (2x2 * 3y3 + -3y3 * 3y3)) = 0
(-6x2y3 + 4x4 + (6x2y3 + -9y6)) = 0

Reorder the terms:
(-6x2y3 + 6x2y3 + 4x4 + -9y6) = 0

Combine like terms: -6x2y3 + 6x2y3 = 0
(0 + 4x4 + -9y6) = 0
(4x4 + -9y6) = 0

Solving
4x4 + -9y6 = 0

Solving for variable 'x'.

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

Add '9y6' to each side of the equation.
4x4 + -9y6 + 9y6 = 0 + 9y6

Combine like terms: -9y6 + 9y6 = 0
4x4 + 0 = 0 + 9y6
4x4 = 0 + 9y6
Remove the zero:
4x4 = 9y6

Divide each side by '4'.
x4 = 2.25y6

Simplifying
x4 = 2.25y6

Combine like terms: 2.25y6 + -2.25y6 = 0.00
x4 + -2.25y6 = 0.00

Factor a difference between two squares.
(x2 + 1.5y3)(x2 + -1.5y3) = 0.00


Subproblem 1
Set the factor '(x2 + 1.5y3)' equal to zero and attempt to solve:

Simplifying
x2 + 1.5y3 = 0

Solving
x2 + 1.5y3 = 0

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

Add '-1.5y3' to each side of the equation.
x2 + 1.5y3 + -1.5y3 = 0 + -1.5y3

Combine like terms: 1.5y3 + -1.5y3 = 0.0
x2 + 0.0 = 0 + -1.5y3
x2 = 0 + -1.5y3
Remove the zero:
x2 = -1.5y3

Simplifying
x2 = -1.5y3

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 '(x2 + -1.5y3)' equal to zero and attempt to solve:

Simplifying
x2 + -1.5y3 = 0

Solving
x2 + -1.5y3 = 0

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

Add '1.5y3' to each side of the equation.
x2 + -1.5y3 + 1.5y3 = 0 + 1.5y3

Combine like terms: -1.5y3 + 1.5y3 = 0.0
x2 + 0.0 = 0 + 1.5y3
x2 = 0 + 1.5y3
Remove the zero:
x2 = 1.5y3

Simplifying
x2 = 1.5y3

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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