3825=14x^2

Solution for 3825=14x^2 equation:

3825=14x^2

We move all terms to the left:

3825-(14x^2)=0

a = -14; b = 0; c = +3825;
Δ = b2-4ac
Δ = 02-4·(-14)·3825
Δ = 214200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{214200}=\sqrt{900*238}=\sqrt{900}*\sqrt{238}=30\sqrt{238}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{238}}{2*-14}=\frac{0-30\sqrt{238}}{-28}
=-\frac{30\sqrt{238}}{-28}
=-\frac{15\sqrt{238}}{-14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{238}}{2*-14}=\frac{0+30\sqrt{238}}{-28}
=\frac{30\sqrt{238}}{-28}
=\frac{15\sqrt{238}}{-14}
$