X+2/5x=144

Solution for X+2/5x=144 equation:

X+2/5X=144

We move all terms to the left:

X+2/5X-(144)=0


Domain of the equation: 5X!=0

X!=0/5

X!=0

X∈R


We multiply all the terms by the denominator


X*5X-144*5X+2=0

Wy multiply elements

5X^2-720X+2=0

a = 5; b = -720; c = +2;
Δ = b2-4ac
Δ = -7202-4·5·2
Δ = 518360
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{518360}=\sqrt{4*129590}=\sqrt{4}*\sqrt{129590}=2\sqrt{129590}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-720)-2\sqrt{129590}}{2*5}=\frac{720-2\sqrt{129590}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-720)+2\sqrt{129590}}{2*5}=\frac{720+2\sqrt{129590}}{10}
$