85=(3x+2)X

Solution for 85=(3x+2)X equation:

85=(3x+2)x

We move all terms to the left:

85-((3x+2)x)=0


We calculate terms in parentheses: -((3x+2)x), so:

(3x+2)x

We multiply parentheses

3x^2+2x

Back to the equation:

-(3x^2+2x)


We get rid of parentheses

-3x^2-2x+85=0

a = -3; b = -2; c = +85;
Δ = b2-4ac
Δ = -22-4·(-3)·85
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-32}{2*-3}=\frac{-30}{-6}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+32}{2*-3}=\frac{34}{-6}
=-5+2/3
$