y+5(y+5)=y(y)+225

Solution for y+5(y+5)=y(y)+225 equation:

Simplifying
y + 5(y + 5) = y(y) + 225

Reorder the terms:
y + 5(5 + y) = y(y) + 225
y + (5 * 5 + y * 5) = y(y) + 225
y + (25 + 5y) = y(y) + 225

Reorder the terms:
25 + y + 5y = y(y) + 225

Combine like terms: y + 5y = 6y
25 + 6y = y(y) + 225

Multiply y * y
25 + 6y = y2 + 225

Reorder the terms:
25 + 6y = 225 + y2

Solving
25 + 6y = 225 + y2

Solving for variable 'y'.

Reorder the terms:
25 + -225 + 6y + -1y2 = 225 + y2 + -225 + -1y2

Combine like terms: 25 + -225 = -200
-200 + 6y + -1y2 = 225 + y2 + -225 + -1y2

Reorder the terms:
-200 + 6y + -1y2 = 225 + -225 + y2 + -1y2

Combine like terms: 225 + -225 = 0
-200 + 6y + -1y2 = 0 + y2 + -1y2
-200 + 6y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-200 + 6y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
200 + -6y + y2 = 0

Move the constant term to the right:

Add '-200' to each side of the equation.
200 + -6y + -200 + y2 = 0 + -200

Reorder the terms:
200 + -200 + -6y + y2 = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -6y + y2 = 0 + -200
-6y + y2 = 0 + -200

Combine like terms: 0 + -200 = -200
-6y + y2 = -200

The y term is -6y.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6y + 9 + y2 = -200 + 9

Reorder the terms:
9 + -6y + y2 = -200 + 9

Combine like terms: -200 + 9 = -191
9 + -6y + y2 = -191

Factor a perfect square on the left side:
(y + -3)(y + -3) = -191

Can't calculate square root of the right side.

The solution to this equation could not be determined.