SOLUTION: Showing all the steps, solve the following: 3x^3+x^2=4x Can the below equation be solved? If yes, show how. 3x^2+4x=7

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Showing all the steps, solve the following: 3x^3+x^2=4x Can the below equation be solved? If yes, show how. 3x^2+4x=7      Log On


   



Question 573801: Showing all the steps, solve the following:
3x^3+x^2=4x

Can the below equation be solved? If yes, show how.
3x^2+4x=7

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Showing all the steps, solve the following:
3x^3+x^2=4x
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3x^3+x^2=4x
This can be factored as
x(3x^2 + x - 4) = 0
So one of the solutions is x = 0
For the other two solutions we solve 3x^2 + x - 4 = 0
This can be factored as
(3x+4)(x-1) = 0
The solutions are x = -4/3, x = 1, and x = 0
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Can the below equation be solved? If yes, show how.
3x^2+4x=7
=============================
3x^2 + 4x - 7 = 0
This can be factored as
(3x+7)(x-1) = 0
So the solutions are x=1, and x=-7/3