7x/10x+24=x

Solution for 7x/10x+24=x equation:

7x/10x+24=x

We move all terms to the left:

7x/10x+24-(x)=0


Domain of the equation: 10x!=0

x!=0/10

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+7x/10x+24=0

We multiply all the terms by the denominator


-1x*10x+7x+24*10x=0

We add all the numbers together, and all the variables

7x-1x*10x+24*10x=0

Wy multiply elements

-10x^2+7x+240x=0

We add all the numbers together, and all the variables

-10x^2+247x=0

a = -10; b = 247; c = 0;
Δ = b2-4ac
Δ = 2472-4·(-10)·0
Δ = 61009
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{61009}=247$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(247)-247}{2*-10}=\frac{-494}{-20}
=24+7/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(247)+247}{2*-10}=\frac{0}{-20}
=0
$