if the area of a rectangle with length 3x+1 and width 2x+1 is 22, what is the value of x?
You can set up the equation (3x+1)(2x+1)=22. Simplify this to get 6x^2+5x+1=22. Subtract 22 to get 6x^2+5x-21. Next use the quadratic formula to find x=-2.33 and 1.5. You can disregard -2.33 because it’s negative to get x=1.5!