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(x+89)2+(x+109)2=180
We move all terms to the left:
(x+89)2+(x+109)2-(180)=0
We multiply parentheses
2x+2x+178+218-180=0
We add all the numbers together, and all the variables
4x+216=0
We move all terms containing x to the left, all other terms to the right
4x=-216
x=-216/4
x=-54
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