-х(1/4-х)=(х-5)(х+5)

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вопрос

Let's start by multiplying both sides of the equation by 4 to get rid of the fraction:

4(-х(1/4-х)) = 4(х-5)(х+5)
-х(1-4х) = 4*(х^2 - 25)

Now, distribute the negative sign on the left side and simplify the right side:

-х + 4х^2 = 4х^2 - 100

Now, move all terms to one side of the equation:

0 = 4х^2 - 100 + х - 4х^2
0 = - 100 + х
100 = х

Therefore, the solution to the equation is х = 100.