X^2+6x+9-5=x+4

Solution for X^2+6x+9-5=x+4 equation:

X^2+6X+9-5=X+4

We move all terms to the left:

X^2+6X+9-5-(X+4)=0

We add all the numbers together, and all the variables

X^2+6X-(X+4)+4=0

We get rid of parentheses

X^2+6X-X-4+4=0

We add all the numbers together, and all the variables

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