The factored form would be (-7x+12)(x+1)
It’s always good to know the several ways to solve these problems, but one of the easiest and fastest would be the box method.
The box method involves you finding you a, b, and c values in a quadratic equation. It goes as follows, Ax^2+bx+c. When doing the box method, you multiply only your A and c. In this case -7*12 which gives you -84. Next you just find you b value (which is 5).
Now comes the trick part, you need to find the factors of -84 that ADD UP to equal 5. Therefore we just find the factors of 84 by listing them (find them for 84 then determine with the negative later). So we have 2, 42/ 3,28/ 4/21/ 6,14 / and 7,12. It becomes easier to find your factor, but 7 and 12 can equal to 5 in this condition due to 84 being negative, therefore one of the factors will be negative. By making 7 negative we can make 12+-7 equal to our b value of 5.
Now that we have the factors, we put them into fractions. We put them in the form that a would be on top and the factor would be on the bottom. Therefore a/(factor). In this case is would be -7/12 and -7/-7. With these fractions, we then simplify as much as we can, -7/12 cannot be simplified so it stays the same, but -7/-7 can be simplified to 1/1.
These fractions then become you FACTORS of your quadratic equation, in which case the a value in the fraction adds x to it, therefore it would be -7x+12 and x+1. The correct would would be (-7x+12)(x+1).