-17y(y-2)=-17y+64

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Solution for -17y(y-2)=-17y+64 equation:


Simplifying
-17y(y + -2) = -17y + 64

Reorder the terms:
-17y(-2 + y) = -17y + 64
(-2 * -17y + y * -17y) = -17y + 64
(34y + -17y2) = -17y + 64

Reorder the terms:
34y + -17y2 = 64 + -17y

Solving
34y + -17y2 = 64 + -17y

Solving for variable 'y'.

Reorder the terms:
-64 + 34y + 17y + -17y2 = 64 + -17y + -64 + 17y

Combine like terms: 34y + 17y = 51y
-64 + 51y + -17y2 = 64 + -17y + -64 + 17y

Reorder the terms:
-64 + 51y + -17y2 = 64 + -64 + -17y + 17y

Combine like terms: 64 + -64 = 0
-64 + 51y + -17y2 = 0 + -17y + 17y
-64 + 51y + -17y2 = -17y + 17y

Combine like terms: -17y + 17y = 0
-64 + 51y + -17y2 = 0

Begin completing the square.  Divide all terms by
-17 the coefficient of the squared term: 

Divide each side by '-17'.
3.764705882 + -3y + y2 = 0

Move the constant term to the right:

Add '-3.764705882' to each side of the equation.
3.764705882 + -3y + -3.764705882 + y2 = 0 + -3.764705882

Reorder the terms:
3.764705882 + -3.764705882 + -3y + y2 = 0 + -3.764705882

Combine like terms: 3.764705882 + -3.764705882 = 0.000000000
0.000000000 + -3y + y2 = 0 + -3.764705882
-3y + y2 = 0 + -3.764705882

Combine like terms: 0 + -3.764705882 = -3.764705882
-3y + y2 = -3.764705882

The y term is -3y.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3y + 2.25 + y2 = -3.764705882 + 2.25

Reorder the terms:
2.25 + -3y + y2 = -3.764705882 + 2.25

Combine like terms: -3.764705882 + 2.25 = -1.514705882
2.25 + -3y + y2 = -1.514705882

Factor a perfect square on the left side:
(y + -1.5)(y + -1.5) = -1.514705882

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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