-3+4/5X=5x

Solution for -3+4/5X=5x equation:

-3+4/5X=5X

We move all terms to the left:

-3+4/5X-(5X)=0


Domain of the equation: 5X!=0

X!=0/5

X!=0

X∈R


We add all the numbers together, and all the variables

-5X+4/5X-3=0

We multiply all the terms by the denominator


-5X*5X-3*5X+4=0

Wy multiply elements

-25X^2-15X+4=0

a = -25; b = -15; c = +4;
Δ = b2-4ac
Δ = -152-4·(-25)·4
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-25}{2*-25}=\frac{-10}{-50}
=1/5
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+25}{2*-25}=\frac{40}{-50}
=-4/5
$