Detective the error in finding the slope

What are the solutions to the equation 4x2+3x=24-x

I’m really confused and need to learn this

Aline is perpendicular to another line m2= (-1/m1), where m1 is the slope of the original line and m2 is the slope of the perpendicular line. which of the following equations represents the line that passes through the point (-2,1) and is perpendicular to the line below?