x(x+1)=7x-9

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Solution for x(x+1)=7x-9 equation: 



x(x+1)=7x-9

We move all terms to the left:

x(x+1)-(7x-9)=0

We multiply parentheses

x^2+x-(7x-9)=0

We get rid of parentheses

x^2+x-7x+9=0

We add all the numbers together, and all the variables

x^2-6x+9=0

a = 1; b = -6; c = +9;
Δ = b2-4ac
Δ = -62-4·1·9
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{6}{2}=3$

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