X=2/5x-15

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Solution for X=2/5x-15 equation: 



X=2/5X-15

We move all terms to the left:

X-(2/5X-15)=0



Domain of the equation: 5X-15)!=0

X∈R



We get rid of parentheses

X-2/5X+15=0

We multiply all the terms by the denominator


X*5X+15*5X-2=0

Wy multiply elements

5X^2+75X-2=0

a = 5; b = 75; c = -2;
Δ = b2-4ac
Δ = 752-4·5·(-2)
Δ = 5665
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{-(75)-\sqrt{5665}}{2*5}=\frac{-75-\sqrt{5665}}{10}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+\sqrt{5665}}{2*5}=\frac{-75+\sqrt{5665}}{10}
$

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