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72=x(24-2x)
We move all terms to the left:
72-(x(24-2x))=0
We add all the numbers together, and all the variables
-(x(-2x+24))+72=0
We calculate terms in parentheses: -(x(-2x+24)), so:We get rid of parentheses
x(-2x+24)
We multiply parentheses
-2x^2+24x
Back to the equation:
-(-2x^2+24x)
2x^2-24x+72=0
a = 2; b = -24; c = +72;
Δ = b2-4ac
Δ = -242-4·2·72
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{24}{4}=6$
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