Therefore, the equation simplifies to: 5x^2 - 10x + 50 = 8x + 28
Now, we can further simplify the equation by moving all terms to one side: 5x^2 - 18x + 22 = 0
It seems like a quadratic equation but we made a mistake in the given equation. The simplified equation above is not equal to the original equation provided.
Expanding both sides of the equation:
Left side: (x+5)(x+5) + (2x-5)(2x-5)
= x^2 + 10x + 25 + 4x^2 - 20x + 25
= 5x^2 - 10x + 50
Right side: 2(4x+14)
= 8x + 28
Therefore, the equation simplifies to:
5x^2 - 10x + 50 = 8x + 28
Now, we can further simplify the equation by moving all terms to one side:
5x^2 - 18x + 22 = 0
It seems like a quadratic equation but we made a mistake in the given equation. The simplified equation above is not equal to the original equation provided.