X=60-2/5x

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

X=60-2/5X

We move all terms to the left:

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


Domain of the equation: 5X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

X+2/5X-60=0

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 = 89960
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:

$\sqrt{\Delta}=\sqrt{89960}=\sqrt{4*22490}=\sqrt{4}*\sqrt{22490}=2\sqrt{22490}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-300)-2\sqrt{22490}}{2*5}=\frac{300-2\sqrt{22490}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-300)+2\sqrt{22490}}{2*5}=\frac{300+2\sqrt{22490}}{10}
$