3/5x-7.2=-4x-35

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Solution for 3/5x-7.2=-4x-35 equation: 



3/5x-7.2=-4x-35

We move all terms to the left:

3/5x-7.2-(-4x-35)=0



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



We get rid of parentheses

3/5x+4x+35-7.2=0

We multiply all the terms by the denominator


4x*5x+35*5x-(7.2)*5x+3=0

We multiply parentheses

4x*5x+35*5x-36x+3=0

Wy multiply elements

20x^2+175x-36x+3=0

We add all the numbers together, and all the variables

20x^2+139x+3=0

a = 20; b = 139; c = +3;
Δ = b2-4ac
Δ = 1392-4·20·3
Δ = 19081
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(139)-\sqrt{19081}}{2*20}=\frac{-139-\sqrt{19081}}{40}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(139)+\sqrt{19081}}{2*20}=\frac{-139+\sqrt{19081}}{40}
$

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