-(x+16)(x+4)=x(x+11+16)-

Solution for -(x+16)(x+4)=x(x+11+16)- equation:

-(x+16)(x+4)=x(x+11+16)-

We move all terms to the left:

-(x+16)(x+4)-(x(x+11+16)-)=0

We add all the numbers together, and all the variables

-(x+16)(x+4)-(x(x+27)-)=0

We multiply parentheses ..

-(+x^2+4x+16x+64)-(x(x+27)-)=0


We calculate terms in parentheses: -(x(x+27)-), so:

x(x+27)-

We add all the numbers together, and all the variables

x(x+27)

We multiply parentheses

x^2+27x

Back to the equation:

-(x^2+27x)


We get rid of parentheses

-x^2-x^2-4x-16x-27x-64=0

We add all the numbers together, and all the variables

-2x^2-47x-64=0

a = -2; b = -47; c = -64;
Δ = b2-4ac
Δ = -472-4·(-2)·(-64)
Δ = 1697
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{-(-47)-\sqrt{1697}}{2*-2}=\frac{47-\sqrt{1697}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-47)+\sqrt{1697}}{2*-2}=\frac{47+\sqrt{1697}}{-4}
$