(x)(3x-8)=1675

Solution for (x)(3x-8)=1675 equation:

(x)(3x-8)=1675

We move all terms to the left:

(x)(3x-8)-(1675)=0

We multiply parentheses

3x^2-8x-1675=0

a = 3; b = -8; c = -1675;
Δ = b2-4ac
Δ = -82-4·3·(-1675)
Δ = 20164
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20164}=142$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-142}{2*3}=\frac{-134}{6}
=-22+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+142}{2*3}=\frac{150}{6}
=25
$