4x^4-3r^2x^2=0

Solution for 4x^4-3r^2x^2=0 equation:

Simplifying
4x4 + -3r2x2 = 0

Reorder the terms:
-3r2x2 + 4x4 = 0

Solving
-3r2x2 + 4x4 = 0

Solving for variable 'r'.

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

Add '-4x4' to each side of the equation.
-3r2x2 + 4x4 + -4x4 = 0 + -4x4

Combine like terms: 4x4 + -4x4 = 0
-3r2x2 + 0 = 0 + -4x4
-3r2x2 = 0 + -4x4
Remove the zero:
-3r2x2 = -4x4

Divide each side by '-3x2'.
r2 = 1.333333333x2

Simplifying
r2 = 1.333333333x2

Take the square root of each side:
r = {-1.154700538x, 1.154700538x}