6x-4=x(x+2)

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Solution for 6x-4=x(x+2) equation: 



6x-4=x(x+2)

We move all terms to the left:

6x-4-(x(x+2))=0



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

x(x+2)

We multiply parentheses

x^2+2x

Back to the equation:

-(x^2+2x)



We get rid of parentheses

-x^2+6x-2x-4=0

We add all the numbers together, and all the variables

-1x^2+4x-4=0

a = -1; b = 4; c = -4;
Δ = b2-4ac
Δ = 42-4·(-1)·(-4)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-4}{-2}=+2$

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