Solve for n.

Question

35n2+38n=0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
n=

Answer 1

To solve the equation $35n^2+38n=0$, we can factor it.

First, we factor out the common term $n$:

$$n(35n+38)=0$$

This gives us two factors to set equal to zero:

1. $n=0$
2. $35n+38=0$

For the second equation, we solve for $n$:

$$35n+38=0$$

Subtract $38$ from both sides:

$$35n=-38$$

Now, divide by $35$:

$$n=-\frac{38}{35}$$

Now we have both solutions:

1. $n=0$
2. $n=-\frac{38}{35}$

Thus, the solutions are:

$$n=0,-\frac{38}{35}$$