How do you solve -2p ^ { 2} = 12p + 15?

1 Answer
May 19, 2017

x=(-6+sqrt(6))/2

Explanation:

Move -2p^2 to the other side:

0=2p^2+12p+15

Use quadratic formula which is:

x=(-b+-sqrt(b^2-4ac))/(2a)

Plug into this formula:

x=(-12+-sqrt(12^2-4(2)(15)))/(2(2))

Simplify:

x=(-12+-sqrt(144-120))/4

x=(-12+-sqrt(24))/4

x=(-12+-2sqrt(6))/4

x=(-6+sqrt(6))/2