25^1/2*5^-3=5^x

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Solution for 25^1/2*5^-3=5^x equation: 



25^1/2*5^-3=5^x

We move all terms to the left:

25^1/2*5^-3-(5^x)=0

We multiply all the terms by the denominator


-5^x*2*5^-3*2*5^+25^1=0

We add all the numbers together, and all the variables

-5^x*2*5^=0

Wy multiply elements

-50x^2*5=0

Wy multiply elements

-250x^2=0

a = -250; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-250)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-500}=0$

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