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.
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.