19x^4-36x^2y^2=

Solution for 19x^4-36x^2y^2= equation:

Simplifying
19x4 + -36x2y2 = 0

Reorder the terms:
-36x2y2 + 19x4 = 0

Solving
-36x2y2 + 19x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-36y2 + 19x2) = 0

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 '(-36y2 + 19x2)' equal to zero and attempt to solve:

Simplifying
-36y2 + 19x2 = 0

Reorder the terms:
19x2 + -36y2 = 0

Solving
19x2 + -36y2 = 0

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

Add '36y2' to each side of the equation.
19x2 + -36y2 + 36y2 = 0 + 36y2

Combine like terms: -36y2 + 36y2 = 0
19x2 + 0 = 0 + 36y2
19x2 = 0 + 36y2
Remove the zero:
19x2 = 36y2

Divide each side by '19'.
x2 = 1.894736842y2

Simplifying
x2 = 1.894736842y2

Take the square root of each side:
x = {-1.376494403y, 1.376494403y}
Solution
x = {0, -1.376494403y, 1.376494403y}