2y^2+27+25=(2y+25)

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Solution for 2y^2+27+25=(2y+25) equation:


Simplifying
2y2 + 27 + 25 = (2y + 25)

Reorder the terms:
27 + 25 + 2y2 = (2y + 25)

Combine like terms: 27 + 25 = 52
52 + 2y2 = (2y + 25)

Reorder the terms:
52 + 2y2 = (25 + 2y)

Remove parenthesis around (25 + 2y)
52 + 2y2 = 25 + 2y

Solving
52 + 2y2 = 25 + 2y

Solving for variable 'y'.

Reorder the terms:
52 + -25 + -2y + 2y2 = 25 + 2y + -25 + -2y

Combine like terms: 52 + -25 = 27
27 + -2y + 2y2 = 25 + 2y + -25 + -2y

Reorder the terms:
27 + -2y + 2y2 = 25 + -25 + 2y + -2y

Combine like terms: 25 + -25 = 0
27 + -2y + 2y2 = 0 + 2y + -2y
27 + -2y + 2y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
27 + -2y + 2y2 = 0

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

Divide each side by '2'.
13.5 + -1y + y2 = 0

Move the constant term to the right:

Add '-13.5' to each side of the equation.
13.5 + -1y + -13.5 + y2 = 0 + -13.5

Reorder the terms:
13.5 + -13.5 + -1y + y2 = 0 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + -1y + y2 = 0 + -13.5
-1y + y2 = 0 + -13.5

Combine like terms: 0 + -13.5 = -13.5
-1y + y2 = -13.5

The y term is -1y.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1y + 0.25 + y2 = -13.5 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -13.5 + 0.25

Combine like terms: -13.5 + 0.25 = -13.25
0.25 + -1y + y2 = -13.25

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -13.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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