SOLUTION: how do i solve this equation: 8n^3+10n^2+3n=0

Question 693363: how do i solve this equation: 8n^3+10n^2+3n=0
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Given:
Since the highet power of n is 3; there are 3 answers.
You can start by factoring out an n on the left side

In order for the equation to equal zero, the n on the out side must equal zero.
Then you can use the quadratic equation on the part of the equation inside the parentheses.

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=4 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.5, -0.75. Here's your graph:

So the values for n are: -0.5, -0.75 and 0
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