Y^2-4y+5=x

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Solution for Y^2-4y+5=x equation:


Simplifying
Y2 + -4y + 5 = x

Reorder the terms:
5 + Y2 + -4y = x

Solving
5 + Y2 + -4y = x

Solving for variable 'Y'.

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

Add '-5' to each side of the equation.
5 + Y2 + -5 + -4y = -5 + x

Reorder the terms:
5 + -5 + Y2 + -4y = -5 + x

Combine like terms: 5 + -5 = 0
0 + Y2 + -4y = -5 + x
Y2 + -4y = -5 + x

Add '4y' to each side of the equation.
Y2 + -4y + 4y = -5 + x + 4y

Combine like terms: -4y + 4y = 0
Y2 + 0 = -5 + x + 4y
Y2 = -5 + x + 4y

Simplifying
Y2 = -5 + x + 4y

Reorder the terms:
5 + Y2 + -1x + -4y = -5 + x + 4y + 5 + -1x + -4y

Reorder the terms:
5 + Y2 + -1x + -4y = -5 + 5 + x + -1x + 4y + -4y

Combine like terms: -5 + 5 = 0
5 + Y2 + -1x + -4y = 0 + x + -1x + 4y + -4y
5 + Y2 + -1x + -4y = x + -1x + 4y + -4y

Combine like terms: x + -1x = 0
5 + Y2 + -1x + -4y = 0 + 4y + -4y
5 + Y2 + -1x + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
5 + Y2 + -1x + -4y = 0

The solution to this equation could not be determined.

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