8x/x-7+4x=5

Solution for 8x/x-7+4x=5 equation:

8x/x-7+4x=5

We move all terms to the left:

8x/x-7+4x-(5)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

4x+8x/x-12=0

We multiply all the terms by the denominator


4x*x+8x-12*x=0

We add all the numbers together, and all the variables

-4x+4x*x=0

Wy multiply elements

4x^2-4x=0

a = 4; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·4·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*4}=\frac{8}{8}
=1
$