For each equation, (b) solve for y in terms of x. See Example 8.

$4x^2-2xy+3y^2=2$

Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8.

$h=-16t^2+v_{0}t+s_0$, for t

Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8.

$r=r_0+\left(\frac{1}{2}\right)a{t}^2$, for t

Solve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. $s=\left(\frac{1}{2}\right)g{t}^2$, for t

Solve each cubic equation using factoring and the quadratic formula. See Example 7.

$x^3-27=0$

Solve each equation using the quadratic formula. See Examples 5 and 6.

$(4x-1)(x+2)=4x$

Solve each equation using the quadratic formula. (2/3)x² + (1/4)x = 3

Solve each equation using the quadratic formula. -4x² = -12x + 11