(2x^3+3y^4)(3x^3+4y^4)=

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Solution for (2x^3+3y^4)(3x^3+4y^4)= equation: 


Simplifying
(2x3 + 3y4)(3x3 + 4y4) = 0

Multiply (2x3 + 3y4) * (3x3 + 4y4)
(2x3 * (3x3 + 4y4) + 3y4 * (3x3 + 4y4)) = 0
((3x3 * 2x3 + 4y4 * 2x3) + 3y4 * (3x3 + 4y4)) = 0

Reorder the terms:
((8x3y4 + 6x6) + 3y4 * (3x3 + 4y4)) = 0
((8x3y4 + 6x6) + 3y4 * (3x3 + 4y4)) = 0
(8x3y4 + 6x6 + (3x3 * 3y4 + 4y4 * 3y4)) = 0
(8x3y4 + 6x6 + (9x3y4 + 12y8)) = 0

Reorder the terms:
(8x3y4 + 9x3y4 + 6x6 + 12y8) = 0

Combine like terms: 8x3y4 + 9x3y4 = 17x3y4
(17x3y4 + 6x6 + 12y8) = 0

Solving
17x3y4 + 6x6 + 12y8 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x3 + 4y4)(2x3 + 3y4) = 0


Subproblem 1
Set the factor '(3x3 + 4y4)' equal to zero and attempt to solve:

Simplifying
3x3 + 4y4 = 0

Solving
3x3 + 4y4 = 0

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

Add '-4y4' to each side of the equation.
3x3 + 4y4 + -4y4 = 0 + -4y4

Combine like terms: 4y4 + -4y4 = 0
3x3 + 0 = 0 + -4y4
3x3 = 0 + -4y4
Remove the zero:
3x3 = -4y4

Divide each side by '3'.
x3 = -1.333333333y4

Simplifying
x3 = -1.333333333y4

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 '(2x3 + 3y4)' equal to zero and attempt to solve:

Simplifying
2x3 + 3y4 = 0

Solving
2x3 + 3y4 = 0

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

Add '-3y4' to each side of the equation.
2x3 + 3y4 + -3y4 = 0 + -3y4

Combine like terms: 3y4 + -3y4 = 0
2x3 + 0 = 0 + -3y4
2x3 = 0 + -3y4
Remove the zero:
2x3 = -3y4

Divide each side by '2'.
x3 = -1.5y4

Simplifying
x3 = -1.5y4

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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