Question

Solve the given quadratic equation, if possible.

15n^2=7n+2
I set problem to 0
15n^2-7n+2=0
please help with explanation

Answer 1

15n^2=7n+2
15n^2 - 7n - 2 = 0 (15 * -2 = -30 we split it as -10 * 3 as -10 + 3 = -7 )
15n^2 - 10n + 3n - 2 = 0
5n(3n -2) + 1(3n - 2) = 0
(5n + 1)(3n -2) = 0
so either 5n + 1 = 0 or 3n - 2 = 0
if 5n + 1 = 0, then n = -1/5
if 3n - 2 = 0, then n = 2/3

Answer 2

Thank you Harkirat