SOLUTION: I'm trying to help my granddaughter. I'm stumped p-4/9p = -7/9

Question 177079: I'm trying to help my granddaughter. I'm stumped
p-4/9p = -7/9
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
I think you mean:

multiply both sides by 9p:

add 7p to both sides:

add 4 to both sides:

divide both sides by 6:

reduce to get:

.
.
.
BUT, if you mean:

multiply both sides by 9p:

add 7p to both sides:

Here, you have to use the quadratic equation to solve.
Doing so will yield:
p = {0.383, -1.161}
Details are below:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=193 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.382913554969434, -1.16069133274721. Here's your graph:

.

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