7/30x=x-2.3

Solution for 7/30x=x-2.3 equation:

7/30x=x-2.3

We move all terms to the left:

7/30x-(x-2.3)=0


Domain of the equation: 30x!=0

x!=0/30

x!=0

x∈R


We get rid of parentheses

7/30x-x+2.3=0

We multiply all the terms by the denominator


-x*30x+(2.3)*30x+7=0

We multiply parentheses

-x*30x+69x+7=0

Wy multiply elements

-30x^2+69x+7=0

a = -30; b = 69; c = +7;
Δ = b2-4ac
Δ = 692-4·(-30)·7
Δ = 5601
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{-(69)-\sqrt{5601}}{2*-30}=\frac{-69-\sqrt{5601}}{-60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(69)+\sqrt{5601}}{2*-30}=\frac{-69+\sqrt{5601}}{-60}
$