8x*14x=112

Solution for 8x*14x=112 equation:

8x*14x=112

We move all terms to the left:

8x*14x-(112)=0

Wy multiply elements

112x^2-112=0

a = 112; b = 0; c = -112;
Δ = b2-4ac
Δ = 02-4·112·(-112)
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-224}{2*112}=\frac{-224}{224}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+224}{2*112}=\frac{224}{224}
=1
$