7s^2-350s=4200

Solution for 7s^2-350s=4200 equation:

7s^2-350s=4200

We move all terms to the left:

7s^2-350s-(4200)=0

a = 7; b = -350; c = -4200;
Δ = b2-4ac
Δ = -3502-4·7·(-4200)
Δ = 240100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{240100}=490$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-350)-490}{2*7}=\frac{-140}{14}
=-10
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-350)+490}{2*7}=\frac{840}{14}
=60
$