How do i solve fr the x intercepts for 4x^2-3y^2+2xy-12=0

You can solve for the x intercepts by setting the value of y to 0 and solving for x.

The equation would be reduced to:

4x^2 - 12 = 0

Solving for x:

x^2 = 12/4

x^2 = 3

x = sqrt (3), x = - sqrt (3)

The x intercepts are positive and negative square root of 3.