9y^2-15y+5=y-9

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Solution for 9y^2-15y+5=y-9 equation:


Simplifying
9y2 + -15y + 5 = y + -9

Reorder the terms:
5 + -15y + 9y2 = y + -9

Reorder the terms:
5 + -15y + 9y2 = -9 + y

Solving
5 + -15y + 9y2 = -9 + y

Solving for variable 'y'.

Reorder the terms:
5 + 9 + -15y + -1y + 9y2 = -9 + y + 9 + -1y

Combine like terms: 5 + 9 = 14
14 + -15y + -1y + 9y2 = -9 + y + 9 + -1y

Combine like terms: -15y + -1y = -16y
14 + -16y + 9y2 = -9 + y + 9 + -1y

Reorder the terms:
14 + -16y + 9y2 = -9 + 9 + y + -1y

Combine like terms: -9 + 9 = 0
14 + -16y + 9y2 = 0 + y + -1y
14 + -16y + 9y2 = y + -1y

Combine like terms: y + -1y = 0
14 + -16y + 9y2 = 0

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

Divide each side by '9'.
1.555555556 + -1.777777778y + y2 = 0

Move the constant term to the right:

Add '-1.555555556' to each side of the equation.
1.555555556 + -1.777777778y + -1.555555556 + y2 = 0 + -1.555555556

Reorder the terms:
1.555555556 + -1.555555556 + -1.777777778y + y2 = 0 + -1.555555556

Combine like terms: 1.555555556 + -1.555555556 = 0.000000000
0.000000000 + -1.777777778y + y2 = 0 + -1.555555556
-1.777777778y + y2 = 0 + -1.555555556

Combine like terms: 0 + -1.555555556 = -1.555555556
-1.777777778y + y2 = -1.555555556

The y term is -1.777777778y.  Take half its coefficient (-0.888888889).
Square it (0.7901234570) and add it to both sides.

Add '0.7901234570' to each side of the equation.
-1.777777778y + 0.7901234570 + y2 = -1.555555556 + 0.7901234570

Reorder the terms:
0.7901234570 + -1.777777778y + y2 = -1.555555556 + 0.7901234570

Combine like terms: -1.555555556 + 0.7901234570 = -0.765432099
0.7901234570 + -1.777777778y + y2 = -0.765432099

Factor a perfect square on the left side:
(y + -0.888888889)(y + -0.888888889) = -0.765432099

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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