-9x+7=25+2(5-x)/x=-4

Solution for -9x+7=25+2(5-x)/x=-4 equation:

-9x+7=25+2(5-x)/x=-4

We move all terms to the left:

-9x+7-(25+2(5-x)/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

-9x-(25+2(-1x+5)/x)+7=0

We multiply all the terms by the denominator


-9x*x)-(25+2(-1x+5)+7*x)=0

We multiply parentheses

-9x*x)-(25-2x+7*x)+10=0

Wy multiply elements

-9x^2-2x+7x=0

We add all the numbers together, and all the variables

-9x^2+5x=0

a = -9; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·(-9)·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*-9}=\frac{-10}{-18}
=5/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*-9}=\frac{0}{-18}
=0
$