Question

solve for u.
47u² + 35u = 0
write each solution as an integer, proper fraction, or improper fraction in simplest form. if there are multiple solutions, separate them with commas.
u =

Explanation:

Step1: Factor out the common factor

Factor out $u$ from $47u^{2}+35u = 0$. We get $u(47u + 35)=0$.

Step2: Use the zero - product property

If $ab = 0$, then either $a = 0$ or $b = 0$. So, $u=0$ or $47u+35 = 0$.

Step3: Solve the second equation for $u$

For $47u+35 = 0$, subtract 35 from both sides: $47u=-35$. Then divide both sides by 47, we get $u =-\frac{35}{47}$.

Answer:

$0,-\frac{35}{47}$