t^2-2t=375

Solution for t^2-2t=375 equation:

t^2-2t=375

We move all terms to the left:

t^2-2t-(375)=0

a = 1; b = -2; c = -375;
Δ = b2-4ac
Δ = -22-4·1·(-375)
Δ = 1504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1504}=\sqrt{16*94}=\sqrt{16}*\sqrt{94}=4\sqrt{94}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-4\sqrt{94}}{2*1}=\frac{2-4\sqrt{94}}{2}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+4\sqrt{94}}{2*1}=\frac{2+4\sqrt{94}}{2}
$