SOLUTION: 7x(3x+4)=8(2x+5)+13

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Question 114667: 7x(3x+4)=8(2x+5)+13
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
7x(3x+4)=8(2x+5)+13
21x^2+28x=16x+40+13
21x^2+12x-53=0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
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=4596 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.32842392920746, -1.89985250063603. Here's your graph:
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