y^2-5y+36=y+1

Solution for y^2-5y+36=y+1 equation:

Simplifying
y2 + -5y + 36 = y + 1

Reorder the terms:
36 + -5y + y2 = y + 1

Reorder the terms:
36 + -5y + y2 = 1 + y

Solving
36 + -5y + y2 = 1 + y

Solving for variable 'y'.

Reorder the terms:
36 + -1 + -5y + -1y + y2 = 1 + y + -1 + -1y

Combine like terms: 36 + -1 = 35
35 + -5y + -1y + y2 = 1 + y + -1 + -1y

Combine like terms: -5y + -1y = -6y
35 + -6y + y2 = 1 + y + -1 + -1y

Reorder the terms:
35 + -6y + y2 = 1 + -1 + y + -1y

Combine like terms: 1 + -1 = 0
35 + -6y + y2 = 0 + y + -1y
35 + -6y + y2 = y + -1y

Combine like terms: y + -1y = 0
35 + -6y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + -6y + -35 + y2 = 0 + -35

Reorder the terms:
35 + -35 + -6y + y2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -6y + y2 = 0 + -35
-6y + y2 = 0 + -35

Combine like terms: 0 + -35 = -35
-6y + y2 = -35

The y term is -6y.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6y + 9 + y2 = -35 + 9

Reorder the terms:
9 + -6y + y2 = -35 + 9

Combine like terms: -35 + 9 = -26
9 + -6y + y2 = -26

Factor a perfect square on the left side:
(y + -3)(y + -3) = -26

Can't calculate square root of the right side.

The solution to this equation could not be determined.