SOLUTION: Factor and use the principal of zero. (2x+3)(x-9)= -8x+22

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor and use the principal of zero. (2x+3)(x-9)= -8x+22      Log On


   

Question 79534: Factor and use the principal of zero.
(2x+3)(x-9)= -8x+22
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor and use the principle (not principal) of zero products:
%282x%2B3%29%28x-9%29+=+-8x%2B22 First, simplify by performing the indicated multiplication.
2x%5E2-15x-27+=+-8x%2B22 Add 8x to both sides.
2x%5E2-7x-27+=+22 Subtract 22 from both sides.
2x%5E2-7x-49+=+0 Factor.
%282x%2B7%29%28x-7%29+=+0 Apply the principle of zero products.
2x%2B7+=+0 or x-7+=+0 so...
2x+=+-7 and so x+=+-7%2F2
x-7+=+0 so x+=+7
The two solutions are:
x+=+-7%2F2
x+=+7