First set the equation to zero
-7x^2+5x-6 =0 multiply both sides by -1
7x^2 -5x+6 =0 This does not factor so need to use the quadratic equation to solve
x=( 5 +- sqroot 25- 168)/14
x= ( 5 +- sqroot-143)/14
x= 5/14 +sqroot -143/14
x= 5/14 -sqroot-143/14