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10x+4=6x^2 in quadratic form, can some one please help me understand this?

 Apr 20, 2016
 #1
avatar+37146 
0

JUst re-arrange so all of the terms are on one side and equated to zero

6x^2 - 10x -4  = 0  is a Quadratic Equation        Now you can work with it......   simplify it if you want by dividing both sides by 2

3x^2 -5x - 2 = 0            is the same thing.....a Quadrtic Equation    SOme can be solved by simply factoring, others may need the quadratic FORMULA or 'completing the square' to find a solution

 Apr 20, 2016
 #2
avatar+129852 
0

10x+4=6x^2   subtract 10x, 4 from both sides

 

6x^2 - 10x - 4  = 0     divide through by 2

 

3x^2 - 5x - 2 = 0       factor, if possible

 

(3x +1) (x - 2)  = 0   set both factors to 0

 

3x + 1  = 0                                                  x - 2   = 0

 

subtract 1 from  both sides                    add 2 to both sides

 

3x  = - 1                                                     x = 2

 

divide both sides by 3

 

x = -1/3

 

So.....   x = -1/3   or   x =  2

 

 

cool cool cool

 Apr 20, 2016

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