x2+15x+15=2+x

Solution for x2+15x+15=2+x equation:

x2+15x+15=2+x

We move all terms to the left:

x2+15x+15-(2+x)=0

We add all the numbers together, and all the variables

x2+15x-(x+2)+15=0

We add all the numbers together, and all the variables

x^2+15x-(x+2)+15=0

We get rid of parentheses

x^2+15x-x-2+15=0

We add all the numbers together, and all the variables

x^2+14x+13=0

a = 1; b = 14; c = +13;
Δ = b2-4ac
Δ = 142-4·1·13
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-12}{2*1}=\frac{-26}{2}
=-13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+12}{2*1}=\frac{-2}{2}
=-1
$