-Y^2+6Y-5=0

Solution for -Y^2+6Y-5=0 equation:

Simplifying
-1Y2 + 6Y + -5 = 0

Reorder the terms:
-5 + 6Y + -1Y2 = 0

Solving
-5 + 6Y + -1Y2 = 0

Solving for variable 'Y'.

Factor a trinomial.
(-5 + Y)(1 + -1Y) = 0

Subproblem 1
Set the factor '(-5 + Y)' equal to zero and attempt to solve:

Simplifying
-5 + Y = 0

Solving
-5 + Y = 0

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

Add '5' to each side of the equation.
-5 + 5 + Y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + Y = 0 + 5
Y = 0 + 5

Combine like terms: 0 + 5 = 5
Y = 5

Simplifying
Y = 5
Subproblem 2
Set the factor '(1 + -1Y)' equal to zero and attempt to solve:

Simplifying
1 + -1Y = 0

Solving
1 + -1Y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1Y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1Y = 0 + -1
-1Y = 0 + -1

Combine like terms: 0 + -1 = -1
-1Y = -1

Divide each side by '-1'.
Y = 1

Simplifying
Y = 1
Solution
Y = {5, 1}