3x^2=44x+119

Solution for 3x^2=44x+119 equation:

3x^2=44x+119

We move all terms to the left:

3x^2-(44x+119)=0

We get rid of parentheses

3x^2-44x-119=0

a = 3; b = -44; c = -119;
Δ = b2-4ac
Δ = -442-4·3·(-119)
Δ = 3364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3364}=58$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-58}{2*3}=\frac{-14}{6}
=-2+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+58}{2*3}=\frac{102}{6}
=17
$