how do you put 7n²+16n+15=2n²+3 in standard form

Question

I need to put my equation in standard form and then solve it.

Answer 1

Collect like terms together and order the terms in descending order of powers of x, the constant being last.

5n²+16n+12=0.

Now we need to factorise: (5n+6)(n+2)=0, so 5n+6=0 making 5n=-6 and n=-6/5; or n+2=0, making n=-2.

So solution is n=-6/5 or -2.