Question

(4x+1)^2+9(4x+1)=-18 find x​

Answer 1

Answer:

hope it will help you!!!

Answer 2

Answer:

$x=$ $\frac{-7}{4}$ or $x=-1$

Step-by-step explanation:

So when solving this equation, all we really need to do is make it simple

Because 4x+1 repeats, we can replace it with p. So our new equation is:

$(p)^{2} +9(p)=-18$

Now lets solve the equation in terms of p

$p^2+9p+18=0\\(p+6)(p+3)=0$

So now we know p is either -6 or -3

p still equals 4x+1, so we have to factor that back in

$4x+1=-6\\or\\4x+1=-3$

When we solve 4x+1=-6, our answer is -7/4

And when solving 4x+1=-3, our answer is -1

If you are doubtful, substitude -7/4 or -1 in place of x

In conclusion:

$x=\frac{-7}{4}$ and $x=-1$