5+2x=-4x(-x+3)-25

Solution for 5+2x=-4x(-x+3)-25 equation:

5+2x=-4x(-x+3)-25

We move all terms to the left:

5+2x-(-4x(-x+3)-25)=0

We add all the numbers together, and all the variables

2x-(-4x(-1x+3)-25)+5=0


We calculate terms in parentheses: -(-4x(-1x+3)-25), so:

-4x(-1x+3)-25

We multiply parentheses

4x^2-12x-25

Back to the equation:

-(4x^2-12x-25)


We get rid of parentheses

-4x^2+2x+12x+25+5=0

We add all the numbers together, and all the variables

-4x^2+14x+30=0

a = -4; b = 14; c = +30;
Δ = b2-4ac
Δ = 142-4·(-4)·30
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-26}{2*-4}=\frac{-40}{-8}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+26}{2*-4}=\frac{12}{-8}
=-1+1/2
$