First, distribute the terms in the equation:
6x^y(2xy) - 6x^y(5) + 3x(2xy) - 3x(5) = 2x(6x^y) - 2x(5) - 25
Simplify each term:
12x^(y+1)y - 30x^y + 6x^2y - 15x = 12x^(y+1) - 10x - 25
Now we have:
12x^(y+1)y + 6x^2y - 30x^y + 6x^2 - 15x + 10x + 25 = 0
Rearrange the terms:
12x^(y+1)y - 30x^y + 6x^2y + 6x^2 - 15x + 10x + 25 = 0
Combine like terms:
12x^(y+1)y - 30x^y + 6x^2y + 6x^2 - 5x + 25 = 0
Therefore, the final simplified equation is:
First, distribute the terms in the equation:
6x^y(2xy) - 6x^y(5) + 3x(2xy) - 3x(5) = 2x(6x^y) - 2x(5) - 25
Simplify each term:
12x^(y+1)y - 30x^y + 6x^2y - 15x = 12x^(y+1) - 10x - 25
Now we have:
12x^(y+1)y + 6x^2y - 30x^y + 6x^2 - 15x + 10x + 25 = 0
Rearrange the terms:
12x^(y+1)y - 30x^y + 6x^2y + 6x^2 - 15x + 10x + 25 = 0
Combine like terms:
12x^(y+1)y - 30x^y + 6x^2y + 6x^2 - 5x + 25 = 0
Therefore, the final simplified equation is:
12x^(y+1)y - 30x^y + 6x^2y + 6x^2 - 5x + 25 = 0