60+42.95x=25+49/95x

Solution for 60+42.95x=25+49/95x equation:

60+42.95x=25+49/95x

We move all terms to the left:

60+42.95x-(25+49/95x)=0


Domain of the equation: 95x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

42.95x-(49/95x+25)+60=0

We get rid of parentheses

42.95x-49/95x-25+60=0

We multiply all the terms by the denominator


(42.95x)*95x-25*95x+60*95x-49=0

We add all the numbers together, and all the variables

(+42.95x)*95x-25*95x+60*95x-49=0

We multiply parentheses

3990x^2-25*95x+60*95x-49=0

Wy multiply elements

3990x^2-2375x+5700x-49=0

We add all the numbers together, and all the variables

3990x^2+3325x-49=0

a = 3990; b = 3325; c = -49;
Δ = b2-4ac
Δ = 33252-4·3990·(-49)
Δ = 11837665
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:

$\sqrt{\Delta}=\sqrt{11837665}=\sqrt{49*241585}=\sqrt{49}*\sqrt{241585}=7\sqrt{241585}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3325)-7\sqrt{241585}}{2*3990}=\frac{-3325-7\sqrt{241585}}{7980}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3325)+7\sqrt{241585}}{2*3990}=\frac{-3325+7\sqrt{241585}}{7980}
$