/7x-2x+5=4x-1*

Solution for /7x-2x+5=4x-1* equation:

/7x-2x+5=4x-1*

We move all terms to the left:

/7x-2x+5-(4x-1*)=0


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We add all the numbers together, and all the variables

/7x-2x-(+4x)+5=0

We add all the numbers together, and all the variables

-2x+/7x-(+4x)+5=0

We get rid of parentheses

-2x+/7x-4x+5=0

We multiply all the terms by the denominator


-2x*7x-4x*7x+5*7x+=0

We add all the numbers together, and all the variables

-2x*7x-4x*7x+5*7x=0

Wy multiply elements

-14x^2-28x^2+35x=0

We add all the numbers together, and all the variables

-42x^2+35x=0

a = -42; b = 35; c = 0;
Δ = b2-4ac
Δ = 352-4·(-42)·0
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-35}{2*-42}=\frac{-70}{-84}
=5/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+35}{2*-42}=\frac{0}{-84}
=0
$