Solve for the value of x

4y=3/x^2+2

Subtract 2 from both sides

3/x^2 = 4y - 2

multiply both sides by x^2

3 = (4y-2) * x^2

divide both sides by (4y-2)

x^2 = 3 / (4y-2)

squareroot both sides

x = ± √ (3 / (4y-2))

x = ± √ (3 (4y+2)) / (4y-2)