200=14c^2

Solution for 200=14c^2 equation:

200=14c^2

We move all terms to the left:

200-(14c^2)=0

a = -14; b = 0; c = +200;
Δ = b2-4ac
Δ = 02-4·(-14)·200
Δ = 11200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{11200}=\sqrt{1600*7}=\sqrt{1600}*\sqrt{7}=40\sqrt{7}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{7}}{2*-14}=\frac{0-40\sqrt{7}}{-28}
=-\frac{40\sqrt{7}}{-28}
=-\frac{10\sqrt{7}}{-7}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{7}}{2*-14}=\frac{0+40\sqrt{7}}{-28}
=\frac{40\sqrt{7}}{-28}
=\frac{10\sqrt{7}}{-7}
$