184x2+795x=1350

Solution for 184x2+795x=1350 equation:

184x^2+795x=1350

We move all terms to the left:

184x^2+795x-(1350)=0

a = 184; b = 795; c = -1350;
Δ = b2-4ac
Δ = 7952-4·184·(-1350)
Δ = 1625625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1625625}=1275$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(795)-1275}{2*184}=\frac{-2070}{368}
=-5+5/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(795)+1275}{2*184}=\frac{480}{368}
=1+7/23
$