x2+16x=57

Solution for x2+16x=57 equation:

x2+16x=57

We move all terms to the left:

x2+16x-(57)=0

We add all the numbers together, and all the variables

x^2+16x-57=0

a = 1; b = 16; c = -57;
Δ = b2-4ac
Δ = 162-4·1·(-57)
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-22}{2*1}=\frac{-38}{2}
=-19
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+22}{2*1}=\frac{6}{2}
=3
$