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x(26-x)=180
We move all terms to the left:
x(26-x)-(180)=0
We add all the numbers together, and all the variables
x(-1x+26)-180=0
We multiply parentheses
-1x^2+26x-180=0
a = -1; b = 26; c = -180;
Δ = b2-4ac
Δ = 262-4·(-1)·(-180)
Δ = -44
Delta is less than zero, so there is no solution for the equation
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