-x-3/70x=-0.5

Solution for -x-3/70x=-0.5 equation:

-x-3/70x=-0.5

We move all terms to the left:

-x-3/70x-(-0.5)=0


Domain of the equation: 70x!=0

x!=0/70

x!=0

x∈R


We add all the numbers together, and all the variables

-1x-3/70x+0.5=0

We multiply all the terms by the denominator


-1x*70x+(0.5)*70x-3=0

We multiply parentheses

-1x*70x+35x-3=0

Wy multiply elements

-70x^2+35x-3=0

a = -70; b = 35; c = -3;
Δ = b2-4ac
Δ = 352-4·(-70)·(-3)
Δ = 385
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{-(35)-\sqrt{385}}{2*-70}=\frac{-35-\sqrt{385}}{-140}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+\sqrt{385}}{2*-70}=\frac{-35+\sqrt{385}}{-140}
$