(X+25/100x)*(x+2)=70

Solution for (X+25/100x)*(x+2)=70 equation:

(X+25/100X)(X+2)=70

We move all terms to the left:

(X+25/100X)(X+2)-(70)=0


Domain of the equation: 100X)(X+2)!=0

X∈R


We add all the numbers together, and all the variables

(+X+25/100X)(X+2)-70=0

We multiply parentheses ..

(+X^2+2X+25X^2+50X)-70=0

We get rid of parentheses

X^2+25X^2+2X+50X-70=0

We add all the numbers together, and all the variables

26X^2+52X-70=0

a = 26; b = 52; c = -70;
Δ = b2-4ac
Δ = 522-4·26·(-70)
Δ = 9984
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:

$\sqrt{\Delta}=\sqrt{9984}=\sqrt{256*39}=\sqrt{256}*\sqrt{39}=16\sqrt{39}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(52)-16\sqrt{39}}{2*26}=\frac{-52-16\sqrt{39}}{52}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(52)+16\sqrt{39}}{2*26}=\frac{-52+16\sqrt{39}}{52}
$