x+x+4/(x+x)+3=300

Solution for x+x+4/(x+x)+3=300 equation:

x+x+4/(x+x)+3=300

We move all terms to the left:

x+x+4/(x+x)+3-(300)=0


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

x∈R


We add all the numbers together, and all the variables

x+x+4/(+2x)+3-300=0

We add all the numbers together, and all the variables

2x+4/(+2x)-297=0

We multiply all the terms by the denominator


2x*(+2x)-297*(+2x)+4=0

We multiply parentheses

4x^2-594x+4=0

a = 4; b = -594; c = +4;
Δ = b2-4ac
Δ = -5942-4·4·4
Δ = 352772
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{352772}=\sqrt{4*88193}=\sqrt{4}*\sqrt{88193}=2\sqrt{88193}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-594)-2\sqrt{88193}}{2*4}=\frac{594-2\sqrt{88193}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-594)+2\sqrt{88193}}{2*4}=\frac{594+2\sqrt{88193}}{8}
$