x(4x+6)=28

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Solution for x(4x+6)=28 equation:



x(4x+6)=28
We move all terms to the left:
x(4x+6)-(28)=0
We multiply parentheses
4x^2+6x-28=0
a = 4; b = 6; c = -28;
Δ = b2-4ac
Δ = 62-4·4·(-28)
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-22}{2*4}=\frac{-28}{8} =-3+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+22}{2*4}=\frac{16}{8} =2 $

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