Assume you've arrived at the following solution: (5x^2 + 7x − 12) − (x^2 − 2x − 35)

What will be the final step? Perform the step, and show your work.

7x +16 < -5(4 - 5x) given

7x + 16 < -20 + 25x distributive property

16 < -20 + 18x subtraction property

16 + 20 < 18x addition property

36 < 18x

36/18 < x division property

2 < x

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: