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x+(1/2)x=13500

We move all terms to the left:

x+(1/2)x-(13500)=0

Domain of the equation: 2)x!=0We add all the numbers together, and all the variables

x!=0/1

x!=0

x∈R

x+(+1/2)x-13500=0

We multiply parentheses

x^2+x-13500=0

a = 1; b = 1; c = -13500;

Δ = b^{2}-4ac

Δ = 1^{2}-4·1·(-13500)

Δ = 54001

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{-(1)-\sqrt{54001}}{2*1}=\frac{-1-\sqrt{54001}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{54001}}{2*1}=\frac{-1+\sqrt{54001}}{2} $

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