-56x=8x^2

Solution for -56x=8x^2 equation:

-56x=8x^2

We move all terms to the left:

-56x-(8x^2)=0

determiningTheFunctionDomain
-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
$