(3x^4+5y^2)(7x^4+5y^2)=

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Solution for (3x^4+5y^2)(7x^4+5y^2)= equation: 


Simplifying
(3x4 + 5y2)(7x4 + 5y2) = 0

Multiply (3x4 + 5y2) * (7x4 + 5y2)
(3x4 * (7x4 + 5y2) + 5y2 * (7x4 + 5y2)) = 0
((7x4 * 3x4 + 5y2 * 3x4) + 5y2 * (7x4 + 5y2)) = 0

Reorder the terms:
((15x4y2 + 21x8) + 5y2 * (7x4 + 5y2)) = 0
((15x4y2 + 21x8) + 5y2 * (7x4 + 5y2)) = 0
(15x4y2 + 21x8 + (7x4 * 5y2 + 5y2 * 5y2)) = 0
(15x4y2 + 21x8 + (35x4y2 + 25y4)) = 0

Reorder the terms:
(15x4y2 + 35x4y2 + 21x8 + 25y4) = 0

Combine like terms: 15x4y2 + 35x4y2 = 50x4y2
(50x4y2 + 21x8 + 25y4) = 0

Solving
50x4y2 + 21x8 + 25y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x4 + 5y2)(3x4 + 5y2) = 0


Subproblem 1
Set the factor '(7x4 + 5y2)' equal to zero and attempt to solve:

Simplifying
7x4 + 5y2 = 0

Solving
7x4 + 5y2 = 0

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

Add '-5y2' to each side of the equation.
7x4 + 5y2 + -5y2 = 0 + -5y2

Combine like terms: 5y2 + -5y2 = 0
7x4 + 0 = 0 + -5y2
7x4 = 0 + -5y2
Remove the zero:
7x4 = -5y2

Divide each side by '7'.
x4 = -0.7142857143y2

Simplifying
x4 = -0.7142857143y2

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 '(3x4 + 5y2)' equal to zero and attempt to solve:

Simplifying
3x4 + 5y2 = 0

Solving
3x4 + 5y2 = 0

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

Add '-5y2' to each side of the equation.
3x4 + 5y2 + -5y2 = 0 + -5y2

Combine like terms: 5y2 + -5y2 = 0
3x4 + 0 = 0 + -5y2
3x4 = 0 + -5y2
Remove the zero:
3x4 = -5y2

Divide each side by '3'.
x4 = -1.666666667y2

Simplifying
x4 = -1.666666667y2

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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