You can
put this solution on YOUR website! W(2W - 5) = 180 need to know what W is.
W(2W - 5) = 180
Distribute to remove the parentheses:
2W² - 5W = 180
Now get 0 on the right by adding -180 to both sides
2W² - 5W - 180 = 0
Use the quadratic formula:
______
-b ± Öb²-4ac
x = —————————————
2a
where x = W, a = 2; b = -5; c = -180
________________
-(-5) ± Ö(-5)²-4(2)(-180)
W = ———————————————————————————
2(2)
_______
5 ± Ö25+1440
W = ————————————————
4
____
5 ± Ö1465
W = ————————————————
4
Using a calculator with the +, we get 10.8188296
Using a calculator with the -, we get -8.318829605
Edwin