# x+(1/2)x=13500

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## Solution for x+(1/2)x=13500 equation:

x+(1/2)x=13500
We move all terms to the left:
x+(1/2)x-(13500)=0

Domain of the equation: 2)x!=0
x!=0/1
x!=0
x∈R

We add all the numbers together, and all the variables
x+(+1/2)x-13500=0
We multiply parentheses
x^2+x-13500=0
a = 1; b = 1; c = -13500;Δ = b2-4acΔ = 12-4·1·(-13500)Δ = 54001The delta value is higher than zero, so the equation has two solutionsWe 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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