x2-3x+2.5=(x-3)2+0.5x(x-18)

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Solution for x2-3x+2.5=(x-3)2+0.5x(x-18) equation: 



x2-3x+2.5=(x-3)2+0.5x(x-18)

We move all terms to the left:

x2-3x+2.5-((x-3)2+0.5x(x-18))=0

We add all the numbers together, and all the variables

x^2-3x-((x-3)2+0.5x(x-18))+2.5=0



We calculate terms in parentheses: -((x-3)2+0.5x(x-18)), so:

(x-3)2+0.5x(x-18)

We multiply parentheses

0x^2+2x+0x-6

We add all the numbers together, and all the variables

x^2+3x-6

Back to the equation:

-(x^2+3x-6)



We get rid of parentheses

x^2-x^2-3x-3x+6+2.5=0

We add all the numbers together, and all the variables

-6x+8.5=0

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

-6x=-8.5

x=-8.5/-6

x=1+1/2.4

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