3x(2)+5x-8(2)=x

Solution for 3x(2)+5x-8(2)=x equation:

3x(2)+5x-8(2)=x

We move all terms to the left:

3x(2)+5x-8(2)-(x)=0

We add all the numbers together, and all the variables

3x^2+4x-82=0

a = 3; b = 4; c = -82;
Δ = b2-4ac
Δ = 42-4·3·(-82)
Δ = 1000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1000}=\sqrt{100*10}=\sqrt{100}*\sqrt{10}=10\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-10\sqrt{10}}{2*3}=\frac{-4-10\sqrt{10}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+10\sqrt{10}}{2*3}=\frac{-4+10\sqrt{10}}{6}
$