a rectangle has an area of (2x^2 +12), a length of 9x+1) and a width of (3x-6). what is the value of x?

area = length x width

2x^2 + 12 = (9x+1)(3x-6) , where x > 2 or else the width makes no sense
2x^2 + 12 = 27x^2 - 51x - 6
25x^2 - 51x - 18 = 0
x = (51 ± √4401)/ 50
= appr. 2.347 or a negative, which would be no good