25+4y^2=17y

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Solution for 25+4y^2=17y equation:


Simplifying
25 + 4y2 = 17y

Solving
25 + 4y2 = 17y

Solving for variable 'y'.

Reorder the terms:
25 + -17y + 4y2 = 17y + -17y

Combine like terms: 17y + -17y = 0
25 + -17y + 4y2 = 0

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

Divide each side by '4'.
6.25 + -4.25y + y2 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + -4.25y + -6.25 + y2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + -4.25y + y2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -4.25y + y2 = 0 + -6.25
-4.25y + y2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-4.25y + y2 = -6.25

The y term is -4.25y.  Take half its coefficient (-2.125).
Square it (4.515625) and add it to both sides.

Add '4.515625' to each side of the equation.
-4.25y + 4.515625 + y2 = -6.25 + 4.515625

Reorder the terms:
4.515625 + -4.25y + y2 = -6.25 + 4.515625

Combine like terms: -6.25 + 4.515625 = -1.734375
4.515625 + -4.25y + y2 = -1.734375

Factor a perfect square on the left side:
(y + -2.125)(y + -2.125) = -1.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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