(X-1)^2+3=1/2x-3

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Solution for (X-1)^2+3=1/2x-3 equation: 



(X-1)^2+3=1/2X-3

We move all terms to the left:

(X-1)^2+3-(1/2X-3)=0



Domain of the equation: 2X-3)!=0

X∈R



We get rid of parentheses

(X-1)^2-1/2X+3+3=0

We multiply all the terms by the denominator


((X-1)^2)*2X+3*2X+3*2X-1=0

Wy multiply elements

((X-1)^2)*2X+6X+6X-1=0

We add all the numbers together, and all the variables

12X+((X-1)^2)*2X-1=0

We move all terms containing X to the left, all other terms to the right

12X+((X-1)^2)*2X=1

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