Verified answer

Add 45 to Both Sides.

-14x -17x +45 = 0

Use the quadratic formula (or factor)

Quadratic Formula:

x = -b +/- √b^2 - 4ac

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2a

You should know what to do from there because you are already in standard form

I would use the quadratic formula... i.e.

-14x^2 - 17x + 45

x= 17+/- square root of 289(17 squared) + 2520 (14*45*4)

(17 +/- 53)/-14

(17+53)/-14 = -5.

(17-53)/-14 = 2.57

x= -5 or 2.57