x+7=(3)/(x+7

Solution for x+7=(3)/(x+7 equation:

x+7=(3)/(x+7

We move all terms to the left:

x+7-((3)/(x+7)=0


Domain of the equation: (x+7)+7!=0

We move all terms containing x to the left, all other terms to the right

(x+7)!=-7

x∈R


We multiply all the terms by the denominator


x*(x+7)+7-(3=0

We add all the numbers together, and all the variables

x*(x+7)=0

We multiply parentheses

x^2+7x=0

a = 1; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·1·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*1}=\frac{-14}{2}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*1}=\frac{0}{2}
=0
$