-(7/6x)+(5/4x)=2

Solution for -(7/6x)+(5/4x)=2 equation:

-(7/6x)+(5/4x)=2

We move all terms to the left:

-(7/6x)+(5/4x)-(2)=0


Domain of the equation: 6x)!=0

x!=0/1

x!=0

x∈R



Domain of the equation: 4x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+7/6x)+(+5/4x)-2=0

We get rid of parentheses

-7/6x+5/4x-2=0

We calculate fractions


(-28x)/24x^2+30x/24x^2-2=0

We multiply all the terms by the denominator


(-28x)+30x-2*24x^2=0

We add all the numbers together, and all the variables

30x+(-28x)-2*24x^2=0

Wy multiply elements

-48x^2+30x+(-28x)=0

We get rid of parentheses

-48x^2+30x-28x=0

We add all the numbers together, and all the variables

-48x^2+2x=0

a = -48; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-48)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-48}=\frac{-4}{-96}
=1/24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-48}=\frac{0}{-96}
=0
$