196x^4-36x^2y^2=

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Solution for 196x^4-36x^2y^2= equation: 


Simplifying
196x4 + -36x2y2 = 0

Reorder the terms:
-36x2y2 + 196x4 = 0

Solving
-36x2y2 + 196x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-9y2 + 49x2) = 0

Factor a difference between two squares.
4x2((3y + 7x)(-3y + 7x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(3y + 7x)' equal to zero and attempt to solve:

Simplifying
3y + 7x = 0

Reorder the terms:
7x + 3y = 0

Solving
7x + 3y = 0

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

Add '-3y' to each side of the equation.
7x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
7x + 0 = 0 + -3y
7x = 0 + -3y
Remove the zero:
7x = -3y

Divide each side by '7'.
x = -0.4285714286y

Simplifying
x = -0.4285714286y

Subproblem 3
Set the factor '(-3y + 7x)' equal to zero and attempt to solve:

Simplifying
-3y + 7x = 0

Reorder the terms:
7x + -3y = 0

Solving
7x + -3y = 0

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

Add '3y' to each side of the equation.
7x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
7x + 0 = 0 + 3y
7x = 0 + 3y
Remove the zero:
7x = 3y

Divide each side by '7'.
x = 0.4285714286y

Simplifying
x = 0.4285714286y
Solution
x = {0, -0.4285714286y, 0.4285714286y}

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