8x2=56x

Solution for 8x2=56x equation:

8x^2=56x

We move all terms to the left:

8x^2-(56x)=0

a = 8; b = -56; c = 0;
Δ = b2-4ac
Δ = -562-4·8·0
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-56}{2*8}=\frac{0}{16}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+56}{2*8}=\frac{112}{16}
=7
$