x2+5x=13x-16

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Solution for x2+5x=13x-16 equation: 



x2+5x=13x-16

We move all terms to the left:

x2+5x-(13x-16)=0

We add all the numbers together, and all the variables

x^2+5x-(13x-16)=0

We get rid of parentheses

x^2+5x-13x+16=0

We add all the numbers together, and all the variables

x^2-8x+16=0

a = 1; b = -8; c = +16;
Δ = b2-4ac
Δ = -82-4·1·16
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{8}{2}=4$

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