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Solve for x X=5÷3x-2

 Oct 24, 2014
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If the problem is x  =  5/(3x) - 2:

Multiply each term by the denominator, 3x, to get:  3x² = 5 - 6x

Get all the values to one side:                    3x² + 6x - 5  =  0

Factoring won't work, so use the quadratic formula with  a = 3, b = 6 and c = -5.

If the problem is:  x  =  5/(3x - 2):

Multiply each side by  3x -2  to get:  x(3x - 2)  =  5

Multiply out:                                        3x² - 2x  =  5

Get all the values to one side:       3x² - 2x - 5  =  0

Factoring:                                 (3x - 5)(x + 1)  =  0

So, either          3x - 5  =  0          or         x + 1  =  0

                                3x  =  5                            x  =  -1

                                x  = 5/3

 Oct 24, 2014

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