3x2-5x=372

Solution for 3x2-5x=372 equation:

3x^2-5x=372

We move all terms to the left:

3x^2-5x-(372)=0

a = 3; b = -5; c = -372;
Δ = b2-4ac
Δ = -52-4·3·(-372)
Δ = 4489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4489}=67$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-67}{2*3}=\frac{-62}{6}
=-10+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+67}{2*3}=\frac{72}{6}
=12
$