Solve the equality.5(x^2-1)> -24x
(x^2-1) > -24/5 x
x^2 + 24/25 x - 1 > 0
x < (-12 - sqrt(769))/25
or
x > (-12 + sqrt(769))/25
Think of the parabola. Graph it and you want the part above the x-axis. That is the part extending left and right from the roots where x^2+24/25x-1=0