2*y^2-50*y+625=0

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Solution for 2*y^2-50*y+625=0 equation:


Simplifying
2y2 + -50y + 625 = 0

Reorder the terms:
625 + -50y + 2y2 = 0

Solving
625 + -50y + 2y2 = 0

Solving for variable 'y'.

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

Divide each side by '2'.
312.5 + -25y + y2 = 0

Move the constant term to the right:

Add '-312.5' to each side of the equation.
312.5 + -25y + -312.5 + y2 = 0 + -312.5

Reorder the terms:
312.5 + -312.5 + -25y + y2 = 0 + -312.5

Combine like terms: 312.5 + -312.5 = 0.0
0.0 + -25y + y2 = 0 + -312.5
-25y + y2 = 0 + -312.5

Combine like terms: 0 + -312.5 = -312.5
-25y + y2 = -312.5

The y term is -25y.  Take half its coefficient (-12.5).
Square it (156.25) and add it to both sides.

Add '156.25' to each side of the equation.
-25y + 156.25 + y2 = -312.5 + 156.25

Reorder the terms:
156.25 + -25y + y2 = -312.5 + 156.25

Combine like terms: -312.5 + 156.25 = -156.25
156.25 + -25y + y2 = -156.25

Factor a perfect square on the left side:
(y + -12.5)(y + -12.5) = -156.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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