6x2-5x=50

Solution for 6x2-5x=50 equation:

6x^2-5x=50

We move all terms to the left:

6x^2-5x-(50)=0

a = 6; b = -5; c = -50;
Δ = b2-4ac
Δ = -52-4·6·(-50)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-35}{2*6}=\frac{-30}{12}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+35}{2*6}=\frac{40}{12}
=3+1/3
$