Can someone please help me

How do you work this problem? -17w+40=8w^2+5w

first i put all the w's on the same side by adding 17w to 5w
so 8w²+22w=40 ( i switched the sides around, personal preference)
then subtracted 40
8w²+22w-40=0
then i used the quadratic formula

-b (+ or -) the square root of b²-4(a)(c)
all over 2a

so -22(+ or -) the square root of 22² - 4(8)(-40) all /2(8)
so -22(+ or -) sq root of 484 + 1280 all /16
484+1280=1760
square root of 1760 = 42
so take -22+42= 20
divide: 20/16 = 5/4
also
-22-42= -64
divide: -64/16 = -4


w= 5/4 or 1.25
&
w= -4

w = -4 or w = 5/4

http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.110057.html


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Can someone please help me?
How do you work this problem?
-17w+40=8w^2+5w
0=8w²+22w-40
0=4w²+11w-20
0=(4w-5)(w+4)
w=-4
w=5/4

-17w+40=8w^2+5w

8w^2 + 22w - 40

2(4w^2 + 11w -20)

4w^2 + 11w -20

w(4w + 11) = 20

1. w = 20

2. 4w = -11

w = -11/4