(Y-5)(y-5)=2y^2-8y+1

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Solution for (Y-5)(y-5)=2y^2-8y+1 equation: 


Simplifying
(Y + -5)(y + -5) = 2y2 + -8y + 1

Reorder the terms:
(-5 + Y)(y + -5) = 2y2 + -8y + 1

Reorder the terms:
(-5 + Y)(-5 + y) = 2y2 + -8y + 1

Multiply (-5 + Y) * (-5 + y)
(-5(-5 + y) + Y(-5 + y)) = 2y2 + -8y + 1
((-5 * -5 + y * -5) + Y(-5 + y)) = 2y2 + -8y + 1
((25 + -5y) + Y(-5 + y)) = 2y2 + -8y + 1
(25 + -5y + (-5 * Y + y * Y)) = 2y2 + -8y + 1
(25 + -5y + (-5Y + yY)) = 2y2 + -8y + 1

Reorder the terms:
(25 + -5Y + -5y + yY) = 2y2 + -8y + 1
(25 + -5Y + -5y + yY) = 2y2 + -8y + 1

Reorder the terms:
25 + -5Y + -5y + yY = 1 + -8y + 2y2

Solving
25 + -5Y + -5y + yY = 1 + -8y + 2y2

Solving for variable 'Y'.

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

Add '-25' to each side of the equation.
25 + -5Y + -5y + -25 + yY = 1 + -8y + -25 + 2y2

Reorder the terms:
25 + -25 + -5Y + -5y + yY = 1 + -8y + -25 + 2y2

Combine like terms: 25 + -25 = 0
0 + -5Y + -5y + yY = 1 + -8y + -25 + 2y2
-5Y + -5y + yY = 1 + -8y + -25 + 2y2

Reorder the terms:
-5Y + -5y + yY = 1 + -25 + -8y + 2y2

Combine like terms: 1 + -25 = -24
-5Y + -5y + yY = -24 + -8y + 2y2

Add '5y' to each side of the equation.
-5Y + -5y + 5y + yY = -24 + -8y + 5y + 2y2

Combine like terms: -5y + 5y = 0
-5Y + 0 + yY = -24 + -8y + 5y + 2y2
-5Y + yY = -24 + -8y + 5y + 2y2

Combine like terms: -8y + 5y = -3y
-5Y + yY = -24 + -3y + 2y2

Reorder the terms:
24 + -5Y + 3y + yY + -2y2 = -24 + -3y + 2y2 + 24 + 3y + -2y2

Reorder the terms:
24 + -5Y + 3y + yY + -2y2 = -24 + 24 + -3y + 3y + 2y2 + -2y2

Combine like terms: -24 + 24 = 0
24 + -5Y + 3y + yY + -2y2 = 0 + -3y + 3y + 2y2 + -2y2
24 + -5Y + 3y + yY + -2y2 = -3y + 3y + 2y2 + -2y2

Combine like terms: -3y + 3y = 0
24 + -5Y + 3y + yY + -2y2 = 0 + 2y2 + -2y2
24 + -5Y + 3y + yY + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
24 + -5Y + 3y + yY + -2y2 = 0

The solution to this equation could not be determined.

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