Solve for p: (4p-1)^2 = -5(4p-1)-6

(4p-1)^2 = -5(4p-1) -6

First
we will open the brackets.

==> 16p^2 - 8p + 1 = -20p
+ 5 - 6

Now we will combine like
terms.

==> 16p^2 +12p +2 =
0

Now we will divide by
2.

==> 8p + 6p + 1 =
0

Now we will find the roots using the quadratic
formula.

==> p1 = (-6 + sqrt( 36-32) / 16 = ( -6 +
2)/16 = -4/16 = -1/4

==> p2 = (-6-2)/16) = -8/16 =
-1/2

Then we have two values for
P.

==> p= { -1/2,
-1/4)