6.25+0.75x=4.75+0.90x/x=10

Solution for 6.25+0.75x=4.75+0.90x/x=10 equation:

6.25+0.75x=4.75+0.90x/x=10

We move all terms to the left:

6.25+0.75x-(4.75+0.90x/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

0.75x-(0.90x/x+4.75)+6.25=0

We get rid of parentheses

0.75x-0.90x/x-4.75+6.25=0

We multiply all the terms by the denominator


(0.75x)*x-0.90x-(4.75)*x+(6.25)*x=0

We add all the numbers together, and all the variables

(+0.75x)*x-0.90x-(4.75)*x+(6.25)*x=0

We add all the numbers together, and all the variables

-0.9x+(+0.75x)*x-(4.75)*x+(6.25)*x=0

We multiply parentheses

0x^2-0.9x-4.75x+6.25x=0

We add all the numbers together, and all the variables

x^2+0.6x=0

a = 1; b = 0.6; c = 0;
Δ = b2-4ac
Δ = 0.62-4·1·0
Δ = 0.36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.6)-\sqrt{0.36}}{2*1}=\frac{-0.6-\sqrt{0.36}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.6)+\sqrt{0.36}}{2*1}=\frac{-0.6+\sqrt{0.36}}{2}
$