X-2/5x=60

Solution for X-2/5x=60 equation:

X-2/5X=60

We move all terms to the left:

X-2/5X-(60)=0


Domain of the equation: 5X!=0

X!=0/5

X!=0

X∈R


We multiply all the terms by the denominator


X*5X-60*5X-2=0

Wy multiply elements

5X^2-300X-2=0

a = 5; b = -300; c = -2;
Δ = b2-4ac
Δ = -3002-4·5·(-2)
Δ = 90040
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:

$\sqrt{\Delta}=\sqrt{90040}=\sqrt{4*22510}=\sqrt{4}*\sqrt{22510}=2\sqrt{22510}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-300)-2\sqrt{22510}}{2*5}=\frac{300-2\sqrt{22510}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-300)+2\sqrt{22510}}{2*5}=\frac{300+2\sqrt{22510}}{10}
$