(x^2-y)(7x^2-y)=0

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Solution for (x^2-y)(7x^2-y)=0 equation: 


Simplifying
(x2 + -1y)(7x2 + -1y) = 0

Multiply (x2 + -1y) * (7x2 + -1y)
(x2(7x2 + -1y) + -1y * (7x2 + -1y)) = 0
((7x2 * x2 + -1y * x2) + -1y * (7x2 + -1y)) = 0

Reorder the terms:
((-1x2y + 7x4) + -1y * (7x2 + -1y)) = 0
((-1x2y + 7x4) + -1y * (7x2 + -1y)) = 0
(-1x2y + 7x4 + (7x2 * -1y + -1y * -1y)) = 0
(-1x2y + 7x4 + (-7x2y + 1y2)) = 0

Reorder the terms:
(-1x2y + -7x2y + 7x4 + 1y2) = 0

Combine like terms: -1x2y + -7x2y = -8x2y
(-8x2y + 7x4 + 1y2) = 0

Solving
-8x2y + 7x4 + 1y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + -1y)(7x2 + -1y) = 0


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

Simplifying
x2 + -1y = 0

Solving
x2 + -1y = 0

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

Add 'y' to each side of the equation.
x2 + -1y + y = 0 + y

Combine like terms: -1y + y = 0
x2 + 0 = 0 + y
x2 = 0 + y
Remove the zero:
x2 = y

Simplifying
x2 = y

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 '(7x2 + -1y)' equal to zero and attempt to solve:

Simplifying
7x2 + -1y = 0

Solving
7x2 + -1y = 0

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

Add 'y' to each side of the equation.
7x2 + -1y + y = 0 + y

Combine like terms: -1y + y = 0
7x2 + 0 = 0 + y
7x2 = 0 + y
Remove the zero:
7x2 = y

Divide each side by '7'.
x2 = 0.1428571429y

Simplifying
x2 = 0.1428571429y

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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