(8x-6)(12x+14)=0

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Solution for (8x-6)(12x+14)=0 equation:



(8x-6)(12x+14)=0
We multiply parentheses ..
(+96x^2+112x-72x-84)=0
We get rid of parentheses
96x^2+112x-72x-84=0
We add all the numbers together, and all the variables
96x^2+40x-84=0
a = 96; b = 40; c = -84;
Δ = b2-4ac
Δ = 402-4·96·(-84)
Δ = 33856
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{33856}=184$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-184}{2*96}=\frac{-224}{192} =-1+1/6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+184}{2*96}=\frac{144}{192} =3/4 $

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