5x2-68x=192

Solution for 5x2-68x=192 equation:

5x^2-68x=192

We move all terms to the left:

5x^2-68x-(192)=0

a = 5; b = -68; c = -192;
Δ = b2-4ac
Δ = -682-4·5·(-192)
Δ = 8464
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8464}=92$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-68)-92}{2*5}=\frac{-24}{10}
=-2+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-68)+92}{2*5}=\frac{160}{10}
=16
$