Question 726631
Part 1:
{{{2m^2 - m - 15 = 0}}}
{{{2m^2 - m = 15}}}
{{{m^2 - (1/2)m - 15/2 = 15/2}}}
{{{m^2 - (1/2)m + 1/16 - 1/16 - 15/2 = 0}}}
{{{m^2 - (1/2)m + 1/16 - 1/16 - 120/16 = 0}}}
{{{m^2 - (1/2)m + 1/16 - 121/16 = 0}}}
{{{(m - 1/4)^2 - 121/16 = 0}}}

Part 2:
{{{2y^2 - 3y - 6=0}}}
{{{y = (-b +- sqrt(b^2-4*a*c))/(2*a)}}}
{{{y = (3 +- sqrt((-3)^2-4*2*(-6)))/(2*2)}}}
{{{y = (3 +- sqrt(57))/4}}}