# Question #d39b8

Mar 23, 2017

The equilibrium price would be when the Pdemand = Psupply. In this case the equilibrium price is 22 when the price per unit is 3.

#### Explanation:

Start by setting the equations equal to each other.
$25 - Q = {Q}^{2} + 2 Q + 7$
Then rearrange
${Q}^{2} + 3 Q - 18 = 0$
Solve for Q
$\left(Q + 6\right) \left(Q - 3\right) = 0$
$Q = - 6 , 3$
Since a negative supply value doesn't make sense, $Q = 3$
Plugging Q backing into the original 2 equations, we find that Pdemand and Psupply are both equal to 22.

Drawing a graph allows you to find the answer without the algebra by graphing both lines separately and finding the point of intersection.