9514 1404 393
Answer:
w = -2 or 8 1/3
Step-by-step explanation:
Setting the two expressions equal makes a quadratic equation:
-5 +0.6w = w(2.5 -0.3w)
0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression
3w^2 -19s -50 = 0 . . . . . . . multiply by 10 to give integer coefficients
(3w -25)(w +2) = 0 . . . . . . . factor
We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.
3w -25 = 0 ⇒ w = 25/3 = 8 1/3
w +2 = 0 ⇒ w = -2
The values of w that make the two expressions equivalent are -2 and 8 1/3.
