(3x^2+4y^4)(3x^2-7y^4)=

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Solution for (3x^2+4y^4)(3x^2-7y^4)= equation: 


Simplifying
(3x2 + 4y4)(3x2 + -7y4) = 0

Multiply (3x2 + 4y4) * (3x2 + -7y4)
(3x2 * (3x2 + -7y4) + 4y4 * (3x2 + -7y4)) = 0
((3x2 * 3x2 + -7y4 * 3x2) + 4y4 * (3x2 + -7y4)) = 0

Reorder the terms:
((-21x2y4 + 9x4) + 4y4 * (3x2 + -7y4)) = 0
((-21x2y4 + 9x4) + 4y4 * (3x2 + -7y4)) = 0
(-21x2y4 + 9x4 + (3x2 * 4y4 + -7y4 * 4y4)) = 0
(-21x2y4 + 9x4 + (12x2y4 + -28y8)) = 0

Reorder the terms:
(-21x2y4 + 12x2y4 + 9x4 + -28y8) = 0

Combine like terms: -21x2y4 + 12x2y4 = -9x2y4
(-9x2y4 + 9x4 + -28y8) = 0

Solving
-9x2y4 + 9x4 + -28y8 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x2 + -7y4)(3x2 + 4y4) = 0


Subproblem 1
Set the factor '(3x2 + -7y4)' equal to zero and attempt to solve:

Simplifying
3x2 + -7y4 = 0

Solving
3x2 + -7y4 = 0

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

Add '7y4' to each side of the equation.
3x2 + -7y4 + 7y4 = 0 + 7y4

Combine like terms: -7y4 + 7y4 = 0
3x2 + 0 = 0 + 7y4
3x2 = 0 + 7y4
Remove the zero:
3x2 = 7y4

Divide each side by '3'.
x2 = 2.333333333y4

Simplifying
x2 = 2.333333333y4

Take the square root of each side:
x = {-1.527525232y2, 1.527525232y2}

Subproblem 2
Set the factor '(3x2 + 4y4)' equal to zero and attempt to solve:

Simplifying
3x2 + 4y4 = 0

Solving
3x2 + 4y4 = 0

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

Add '-4y4' to each side of the equation.
3x2 + 4y4 + -4y4 = 0 + -4y4

Combine like terms: 4y4 + -4y4 = 0
3x2 + 0 = 0 + -4y4
3x2 = 0 + -4y4
Remove the zero:
3x2 = -4y4

Divide each side by '3'.
x2 = -1.333333333y4

Simplifying
x2 = -1.333333333y4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {-1.527525232y2, 1.527525232y2}

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