y·(2y-5)(2y+5)-4y(y+6)²=13-48y²

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вопрос

Let's solve step by step:

y(2y-5)(2y+5) - 4y(y+6)² = 13 - 48y²

Expand each term:

y(4y² - 25) - 4y(y² + 12y + 36) = 13 - 48y²

Simplify the equation further:

4y³ - 25y - 4y³ - 48y² = 13 - 48y²

Combine like terms:

-25y = 13

Now, divide by -25 on both sides:

y = -13/25

Therefore, the solution to the given equation is y = -13/25.