12.5k views
1 vote
25n^2-15n+4=5n in simplest form

1 Answer

5 votes

Answer:

(n - 0.8)(n - 1) = 0.

Step-by-step explanation:

To solve the equation 25n^2 - 15n + 4 = 5n, you need to isolate the n^2 term by subtracting 5n from both sides:

25n^2 - 20n + 4 = 0

Next, you can simplify the left-hand side using the difference of squares:

(5n - 4)(5n - 1) = 0

So either 5n - 4 = 0 or 5n - 1 = 0. Solving for n, we find:

n = 0.8 or n = 1

So the simplified form of the equation is:

(n - 0.8)(n - 1) = 0.

User Diogo Antunes
by
7.3k points