X-2/5x=1350

Solution for X-2/5x=1350 equation:

X-2/5X=1350

We move all terms to the left:

X-2/5X-(1350)=0


Domain of the equation: 5X!=0

X!=0/5

X!=0

X∈R


We multiply all the terms by the denominator


X*5X-1350*5X-2=0

Wy multiply elements

5X^2-6750X-2=0

a = 5; b = -6750; c = -2;
Δ = b2-4ac
Δ = -67502-4·5·(-2)
Δ = 45562540
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:

$\sqrt{\Delta}=\sqrt{45562540}=\sqrt{4*11390635}=\sqrt{4}*\sqrt{11390635}=2\sqrt{11390635}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6750)-2\sqrt{11390635}}{2*5}=\frac{6750-2\sqrt{11390635}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6750)+2\sqrt{11390635}}{2*5}=\frac{6750+2\sqrt{11390635}}{10}
$