8x^2-6x=119

Solution for 8x^2-6x=119 equation:

8x^2-6x=119

We move all terms to the left:

8x^2-6x-(119)=0

a = 8; b = -6; c = -119;
Δ = b2-4ac
Δ = -62-4·8·(-119)
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-62}{2*8}=\frac{-56}{16}
=-3+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+62}{2*8}=\frac{68}{16}
=4+1/4
$