6t^2=294

Solution for 6t^2=294 equation:

6t^2=294

We move all terms to the left:

6t^2-(294)=0

a = 6; b = 0; c = -294;
Δ = b2-4ac
Δ = 02-4·6·(-294)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*6}=\frac{-84}{12}
=-7
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*6}=\frac{84}{12}
=7
$