8x2=112x

Solution for 8x2=112x equation:

8x^2=112x

We move all terms to the left:

8x^2-(112x)=0

a = 8; b = -112; c = 0;
Δ = b2-4ac
Δ = -1122-4·8·0
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-112)-112}{2*8}=\frac{0}{16}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-112)+112}{2*8}=\frac{224}{16}
=14
$