7/5x-2x=-3

Solution for 7/5x-2x=-3 equation:

7/5x-2x=-3

We move all terms to the left:

7/5x-2x-(-3)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

-2x+7/5x+3=0

We multiply all the terms by the denominator


-2x*5x+3*5x+7=0

Wy multiply elements

-10x^2+15x+7=0

a = -10; b = 15; c = +7;
Δ = b2-4ac
Δ = 152-4·(-10)·7
Δ = 505
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{-(15)-\sqrt{505}}{2*-10}=\frac{-15-\sqrt{505}}{-20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{505}}{2*-10}=\frac{-15+\sqrt{505}}{-20}
$