6t^2-11t=2

Solution for 6t^2-11t=2 equation:

6t^2-11t=2

We move all terms to the left:

6t^2-11t-(2)=0

a = 6; b = -11; c = -2;
Δ = b2-4ac
Δ = -112-4·6·(-2)
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-13}{2*6}=\frac{-2}{12}
=-1/6
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+13}{2*6}=\frac{24}{12}
=2
$