y^2-10y+25=-1

Solution for y^2-10y+25=-1 equation:

Simplifying
y2 + -10y + 25 = -1

Reorder the terms:
25 + -10y + y2 = -1

Solving
25 + -10y + y2 = -1

Solving for variable 'y'.

Reorder the terms:
25 + 1 + -10y + y2 = -1 + 1

Combine like terms: 25 + 1 = 26
26 + -10y + y2 = -1 + 1

Combine like terms: -1 + 1 = 0
26 + -10y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + -10y + -26 + y2 = 0 + -26

Reorder the terms:
26 + -26 + -10y + y2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -10y + y2 = 0 + -26
-10y + y2 = 0 + -26

Combine like terms: 0 + -26 = -26
-10y + y2 = -26

The y term is -10y.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10y + 25 + y2 = -26 + 25

Reorder the terms:
25 + -10y + y2 = -26 + 25

Combine like terms: -26 + 25 = -1
25 + -10y + y2 = -1

Factor a perfect square on the left side:
(y + -5)(y + -5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.