Question 37487
{{{30x^2 - 9x - 3 = 0}}}
divide both sides by 3
{{{10x^2 -3x -1 = 0}}}
{{{(5x + 1)*(2x - 1)= 0}}}
{{{5x + 1 = 0}}}
{{{5x = -1}}}
{{{x = -1/5}}} root 1 
{{{2x - 1 = 0}}}
{{{2x = 1}}}
{{{x = 1/2}}} root 2
check by subbing these values back in equation
{{{10*(-1/5)^2 -3*(-1/5) - 1 = 0}}}
{{{10*(1/25) + 3/5 -1 = 0}}}
{{{10/25 + 15/25 -25/25 = 0}}}
{{{25/25 - 25/25 = 0}}}
{{{0 = 0}}}
checks OK
{{{10*(1/2)^2 - 3*(1/2) - 1 = 0}}}
{{{10*(1/4) - 3/2 - 1 = 0}}}
{{{10/4 - 6/4 -4/4 = 0}}}
{{{10/4 - 10/4 = 0}}}
{{{0 = 0}}}
checks OK