-2x(x+3)+5x=-39

Solution for -2x(x+3)+5x=-39 equation:

-2x(x+3)+5x=-39

We move all terms to the left:

-2x(x+3)+5x-(-39)=0

We add all the numbers together, and all the variables

5x-2x(x+3)+39=0

We multiply parentheses

-2x^2+5x-6x+39=0

We add all the numbers together, and all the variables

-2x^2-1x+39=0

a = -2; b = -1; c = +39;
Δ = b2-4ac
Δ = -12-4·(-2)·39
Δ = 313
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{-(-1)-\sqrt{313}}{2*-2}=\frac{1-\sqrt{313}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{313}}{2*-2}=\frac{1+\sqrt{313}}{-4}
$