Y^2-4y+1=-5

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Solution for Y^2-4y+1=-5 equation:


Simplifying
Y2 + -4y + 1 = -5

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

Solving
1 + Y2 + -4y = -5

Solving for variable 'Y'.

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

Add '-1' to each side of the equation.
1 + Y2 + -1 + -4y = -5 + -1

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

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

Combine like terms: -5 + -1 = -6
Y2 + -4y = -6

Add '4y' to each side of the equation.
Y2 + -4y + 4y = -6 + 4y

Combine like terms: -4y + 4y = 0
Y2 + 0 = -6 + 4y
Y2 = -6 + 4y

Simplifying
Y2 = -6 + 4y

Reorder the terms:
6 + Y2 + -4y = -6 + 4y + 6 + -4y

Reorder the terms:
6 + Y2 + -4y = -6 + 6 + 4y + -4y

Combine like terms: -6 + 6 = 0
6 + Y2 + -4y = 0 + 4y + -4y
6 + Y2 + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
6 + Y2 + -4y = 0

The solution to this equation could not be determined.

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