6x^2-14x=20

Solution for 6x^2-14x=20 equation:

6x^2-14x=20

We move all terms to the left:

6x^2-14x-(20)=0

a = 6; b = -14; c = -20;
Δ = b2-4ac
Δ = -142-4·6·(-20)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-26}{2*6}=\frac{-12}{12}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+26}{2*6}=\frac{40}{12}
=3+1/3
$