6x^2=16x+56

Solution for 6x^2=16x+56 equation:

6x^2=16x+56

We move all terms to the left:

6x^2-(16x+56)=0

We get rid of parentheses

6x^2-16x-56=0

a = 6; b = -16; c = -56;
Δ = b2-4ac
Δ = -162-4·6·(-56)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-40}{2*6}=\frac{-24}{12}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+40}{2*6}=\frac{56}{12}
=4+2/3
$