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Solve for j.

35j2–24j=0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
j=

1 answer

To solve the equation \( 35j^2 - 24j = 0 \), we can start by factoring out the common term, which is \( j \):

\[ j(35j - 24) = 0 \]

This gives us two factors to consider:

  1. \( j = 0 \)
  2. \( 35j - 24 = 0 \)

Now, we'll solve the second equation:

\[ 35j - 24 = 0 \]

Adding 24 to both sides gives:

\[ 35j = 24 \]

Next, we divide both sides by 35:

\[ j = \frac{24}{35} \]

Thus, the solutions to the equation \( 35j^2 - 24j = 0 \) are:

\[ j = 0, \frac{24}{35} \]

So, the final answer is:

\[ j = 0, \frac{24}{35} \]