SOLUTION: (3x+1)(x-1)= -3x

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Question 167447: (3x+1)(x-1)= -3x
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
(3x+1)(x-1)= -3x
FOIL the left:
3x^2 - 3x + x - 1 = -3x
3x^2 - 2x - 1 = -3x
3x^2 + x - 1 = 0
.
Solving using the quadratic equation yields:
x = {0.4343, -0.7676}
.
Details of quadratic:
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=13 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.434258545910665, -0.767591879243998. Here's your graph:
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