2a^2=-6a+56

Solution for 2a^2=-6a+56 equation:

2a^2=-6a+56

We move all terms to the left:

2a^2-(-6a+56)=0

We get rid of parentheses

2a^2+6a-56=0

a = 2; b = 6; c = -56;
Δ = b2-4ac
Δ = 62-4·2·(-56)
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-22}{2*2}=\frac{-28}{4}
=-7
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+22}{2*2}=\frac{16}{4}
=4
$