2x(3x-1)=28

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Solution for 2x(3x-1)=28 equation:



2x(3x-1)=28
We move all terms to the left:
2x(3x-1)-(28)=0
We multiply parentheses
6x^2-2x-28=0
a = 6; b = -2; c = -28;
Δ = b2-4ac
Δ = -22-4·6·(-28)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-26}{2*6}=\frac{-24}{12} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+26}{2*6}=\frac{28}{12} =2+1/3 $

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