36y^2-160y+208=0

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Solution for 36y^2-160y+208=0 equation: 


Simplifying
36y2 + -160y + 208 = 0

Reorder the terms:
208 + -160y + 36y2 = 0

Solving
208 + -160y + 36y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(52 + -40y + 9y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(52 + -40y + 9y2)' equal to zero and attempt to solve:

Simplifying
52 + -40y + 9y2 = 0

Solving
52 + -40y + 9y2 = 0

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

Divide each side by '9'.
5.777777778 + -4.444444444y + y2 = 0

Move the constant term to the right:

Add '-5.777777778' to each side of the equation.
5.777777778 + -4.444444444y + -5.777777778 + y2 = 0 + -5.777777778

Reorder the terms:
5.777777778 + -5.777777778 + -4.444444444y + y2 = 0 + -5.777777778

Combine like terms: 5.777777778 + -5.777777778 = 0.000000000
0.000000000 + -4.444444444y + y2 = 0 + -5.777777778
-4.444444444y + y2 = 0 + -5.777777778

Combine like terms: 0 + -5.777777778 = -5.777777778
-4.444444444y + y2 = -5.777777778

The y term is -4.444444444y.  Take half its coefficient (-2.222222222).
Square it (4.938271604) and add it to both sides.

Add '4.938271604' to each side of the equation.
-4.444444444y + 4.938271604 + y2 = -5.777777778 + 4.938271604

Reorder the terms:
4.938271604 + -4.444444444y + y2 = -5.777777778 + 4.938271604

Combine like terms: -5.777777778 + 4.938271604 = -0.839506174
4.938271604 + -4.444444444y + y2 = -0.839506174

Factor a perfect square on the left side:
(y + -2.222222222)(y + -2.222222222) = -0.839506174

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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