(18-x)2=(16-x)2+(9-x)

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Solution for (18-x)2=(16-x)2+(9-x) equation: 



(18-x)2=(16-x)2+(9-x)

We move all terms to the left:

(18-x)2-((16-x)2+(9-x))=0

We add all the numbers together, and all the variables

(-1x+18)2-((-1x+16)2+(-1x+9))=0

We multiply parentheses

-2x-((-1x+16)2+(-1x+9))+36=0



We calculate terms in parentheses: -((-1x+16)2+(-1x+9)), so:

(-1x+16)2+(-1x+9)

We multiply parentheses

-2x+(-1x+9)+32

We get rid of parentheses

-2x-1x+9+32

We add all the numbers together, and all the variables

-3x+41

Back to the equation:

-(-3x+41)



We get rid of parentheses

-2x+3x-41+36=0

We add all the numbers together, and all the variables

x-5=0

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

x=5

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