Question:

How do i solve. 6x²+10x+4=0?

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Somehow i managed to end up with answers of 1/3 and -2. Please tell me what i'm doing wrong

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  1. x=-11.5

    46/4=-11.5

    m pretty sure im right.


  2. (2x+2)(3x+2)=0

    x=-1,-2/3

  3. What you did was 6x²+10x-4 = 0.

    6x²+10x-4 = 2(3x^2+5x-2) = 2(3x-1)(x+2) = 0

    x = 1/3, -2

    6x²+10x+4 = 2(3x^2+5x+2) = 2(3x+2)(x+1) = 0

    x = -2/3, -1

  4. (3x + 2)(2x + 2) = 0

    x = - 2/3 , x = - 1

  5. 1) 6x²+10x+4=0

    2) 2(3x² + 5x +2) = 0

    3) 2(3x + 2)(x +1) = 0

    4) 3x + 2 = 0

         x = -2/3

    5) x + 1= 0

        x = -1

    x = -2/3 and -1

  6. The first step you can do is simplify. A common thing you can factor out is 2.

    2(3x^2 + 5x + 2) = 0

    3x^2 + 5x + 2 = 0

    You then use the quadratic formula x = (-b (+/-) (square root b^2 - 4ac))/2a.

    Your answers should be...

    x = -2/3 and -1

  7. 6x^2 + 10x + 4 = 0

    2[ 3x^2 + 5x +2] = 0

    3x^2 + 3x + 2x + 2 = 0

    3x(x + 1) + 2( x + 1) =0

    (3x+2)(x+1) =0

    x = -2/3 ; x = -1

  8. 6x²+10x-4 = 2(3x^2+5x-2) = 2(3x-1)(x+2) = 0

    x = 1/3, -2

    6x²+10x+4 = 2(3x^2+5x+2) = 2(3x+2)(x+1) = 0

    x = -2/3, -1

  9. Divide by 2 , you get 3X^2 + 5X + 2 =0,delta=25-24=1,X1=-2 & X2=-4/3

    see your college lgebra for the quadradic formulla.

  10. well you factor it

    notice that 2 goes into all 3 numbers(6,10,4)

    so divide all 3 by 2

    then you end up with

    3x(squared)+5x+2=0

    your trying to find 2 numbers that multiply to get 6 and add up to get 5

    those numbers are 3 and 2

    so you replace 5x with 3x and 2x

    so then you have 3x(squared)+3x+2x+2

    then you have a binomial

    (3xsquared+3x) + (2x+2)=0

    then you take a 3x from the first parenthaseis, and 2 from the second parenthaseis

    now you have

    (x+1)+(x+1)=0

    you set each parenthaseis equal to 0

    x+1=0

    subtract 1 from each side and 1 answer is x= -1

    then you do the other one

    x+1=0

    subtract 1 from each side and the other answer is x= -1

    so your answers are -1 and -1

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