(X)(3x-2)=176

Solution for (X)(3x-2)=176 equation:

(X)(3X-2)=176

We move all terms to the left:

(X)(3X-2)-(176)=0

We multiply parentheses

3X^2-2X-176=0

a = 3; b = -2; c = -176;
Δ = b2-4ac
Δ = -22-4·3·(-176)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-46}{2*3}=\frac{-44}{6}
=-7+1/3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+46}{2*3}=\frac{48}{6}
=8
$