Y^2-2y+y^2-20-y=0

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Solution for Y^2-2y+y^2-20-y=0 equation:


Simplifying
Y2 + -2y + y2 + -20 + -1y = 0

Reorder the terms:
-20 + Y2 + -2y + -1y + y2 = 0

Combine like terms: -2y + -1y = -3y
-20 + Y2 + -3y + y2 = 0

Solving
-20 + Y2 + -3y + y2 = 0

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '20' to each side of the equation.
-20 + Y2 + -3y + 20 + y2 = 0 + 20

Reorder the terms:
-20 + 20 + Y2 + -3y + y2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + Y2 + -3y + y2 = 0 + 20
Y2 + -3y + y2 = 0 + 20

Combine like terms: 0 + 20 = 20
Y2 + -3y + y2 = 20

Add '3y' to each side of the equation.
Y2 + -3y + 3y + y2 = 20 + 3y

Combine like terms: -3y + 3y = 0
Y2 + 0 + y2 = 20 + 3y
Y2 + y2 = 20 + 3y

Add '-1y2' to each side of the equation.
Y2 + y2 + -1y2 = 20 + 3y + -1y2

Combine like terms: y2 + -1y2 = 0
Y2 + 0 = 20 + 3y + -1y2
Y2 = 20 + 3y + -1y2

Simplifying
Y2 = 20 + 3y + -1y2

Reorder the terms:
-20 + Y2 + -3y + y2 = 20 + 3y + -1y2 + -20 + -3y + y2

Reorder the terms:
-20 + Y2 + -3y + y2 = 20 + -20 + 3y + -3y + -1y2 + y2

Combine like terms: 20 + -20 = 0
-20 + Y2 + -3y + y2 = 0 + 3y + -3y + -1y2 + y2
-20 + Y2 + -3y + y2 = 3y + -3y + -1y2 + y2

Combine like terms: 3y + -3y = 0
-20 + Y2 + -3y + y2 = 0 + -1y2 + y2
-20 + Y2 + -3y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-20 + Y2 + -3y + y2 = 0

The solution to this equation could not be determined.

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