4-x=x^2+4x+4

Solution for 4-x=x^2+4x+4 equation:

4-x=x^2+4x+4

We move all terms to the left:

4-x-(x^2+4x+4)=0

We add all the numbers together, and all the variables

-1x-(x^2+4x+4)+4=0

We get rid of parentheses

-x^2-1x-4x-4+4=0

We add all the numbers together, and all the variables

-1x^2-5x=0

a = -1; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·(-1)·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*-1}=\frac{0}{-2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*-1}=\frac{10}{-2}
=-5
$