Answer:
w = -7.04 and 1.705
Step-by-step explanation:
First lets distribute.
We have 8w-6w(w-4), so let's distribute the -6w to w and -4
8w-6w^2+24w = 2(w+9)
Now for the other side we distribute 2 to w and 9
8w-6w^2+24w = 2w +18
Now we combine like terms
6w^2+32w = 2w +18
Carry both 2w and 18 to the other side
6w^2 +30w -18 = 0
Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)
Plugging that in:
x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)
-32 +- square root of 1024 +1728 / 12
-32 +- square root of 2752 /12
-32 +- 52.46 /12
x = -32 - 52.46/12 and -32 + 52.46/12
x= -84.46/12 and 20.46/12
x= -7.04 and 1.705
so w = -7.04 and 1.705
Sorry this was so complicated, but I hope this helps
