y^2+y+25=25y-250

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Solution for y^2+y+25=25y-250 equation: 


Simplifying
y2 + y + 25 = 25y + -250

Reorder the terms:
25 + y + y2 = 25y + -250

Reorder the terms:
25 + y + y2 = -250 + 25y

Solving
25 + y + y2 = -250 + 25y

Solving for variable 'y'.

Reorder the terms:
25 + 250 + y + -25y + y2 = -250 + 25y + 250 + -25y

Combine like terms: 25 + 250 = 275
275 + y + -25y + y2 = -250 + 25y + 250 + -25y

Combine like terms: y + -25y = -24y
275 + -24y + y2 = -250 + 25y + 250 + -25y

Reorder the terms:
275 + -24y + y2 = -250 + 250 + 25y + -25y

Combine like terms: -250 + 250 = 0
275 + -24y + y2 = 0 + 25y + -25y
275 + -24y + y2 = 25y + -25y

Combine like terms: 25y + -25y = 0
275 + -24y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-275' to each side of the equation.
275 + -24y + -275 + y2 = 0 + -275

Reorder the terms:
275 + -275 + -24y + y2 = 0 + -275

Combine like terms: 275 + -275 = 0
0 + -24y + y2 = 0 + -275
-24y + y2 = 0 + -275

Combine like terms: 0 + -275 = -275
-24y + y2 = -275

The y term is -24y.  Take half its coefficient (-12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
-24y + 144 + y2 = -275 + 144

Reorder the terms:
144 + -24y + y2 = -275 + 144

Combine like terms: -275 + 144 = -131
144 + -24y + y2 = -131

Factor a perfect square on the left side:
(y + -12)(y + -12) = -131

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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