SOLUTION: Solve for x. 2(5x-3) = 3x^2

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Question 1038609: Solve for x.
2(5x-3) = 3x^2
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve for x.
2(5x-3) = 3x^2
10x-6 = 3x^2
3x^2 - 10x + 6 = 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=28 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.54858377035486, 0.78474956297847. Here's your graph:
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