(55/2)*5x-(3x-2)=5

Solution for (55/2)*5x-(3x-2)=5 equation:

(55/2)*5x-(3x-2)=5

We move all terms to the left:

(55/2)*5x-(3x-2)-(5)=0


Domain of the equation: 2)*5x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+55/2)*5x-(3x-2)-5=0

We multiply parentheses

275x^2-(3x-2)-5=0

We get rid of parentheses

275x^2-3x+2-5=0

We add all the numbers together, and all the variables

275x^2-3x-3=0

a = 275; b = -3; c = -3;
Δ = b2-4ac
Δ = -32-4·275·(-3)
Δ = 3309
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{-(-3)-\sqrt{3309}}{2*275}=\frac{3-\sqrt{3309}}{550}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{3309}}{2*275}=\frac{3+\sqrt{3309}}{550}
$