-8x-8+3.x2=-3x+2

Solution for -8x-8+3.x2=-3x+2 equation:

-8x-8+3.x^2=-3x+2

We move all terms to the left:

-8x-8+3.x^2-(-3x+2)=0

We get rid of parentheses

3.x^2-8x+3x-2-8=0

We add all the numbers together, and all the variables

3.x^2-5x-10=0

a = 3.; b = -5; c = -10;
Δ = b2-4ac
Δ = -52-4·3.·(-10)
Δ = 145
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-\sqrt{145}}{2*3.}=\frac{5-\sqrt{145}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{145}}{2*3.}=\frac{5+\sqrt{145}}{6}
$