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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

-75x^2+50x-3=0

a = -75; b = 50; c = -3;
Δ = b2-4ac
Δ = 502-4·(-75)·(-3)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-40}{2*-75}=\frac{-90}{-150}
=3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+40}{2*-75}=\frac{-10}{-150}
=1/15
$