0=9y^2-18y+9

Solution for 0=9y^2-18y+9 equation:

Simplifying
0 = 9y2 + -18y + 9

Reorder the terms:
0 = 9 + -18y + 9y2

Solving
0 = 9 + -18y + 9y2

Solving for variable 'y'.

Combine like terms: 0 + -9 = -9
-9 + 18y + -9y2 = 9 + -18y + 9y2 + -9 + 18y + -9y2

Reorder the terms:
-9 + 18y + -9y2 = 9 + -9 + -18y + 18y + 9y2 + -9y2

Combine like terms: 9 + -9 = 0
-9 + 18y + -9y2 = 0 + -18y + 18y + 9y2 + -9y2
-9 + 18y + -9y2 = -18y + 18y + 9y2 + -9y2

Combine like terms: -18y + 18y = 0
-9 + 18y + -9y2 = 0 + 9y2 + -9y2
-9 + 18y + -9y2 = 9y2 + -9y2

Combine like terms: 9y2 + -9y2 = 0
-9 + 18y + -9y2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-1 + 2y + -1y2) = 0

Factor a trinomial.
9((-1 + y)(1 + -1y)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(-1 + y)' equal to zero and attempt to solve:

Simplifying
-1 + y = 0

Solving
-1 + y = 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 + y = 0 + 1

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

Combine like terms: 0 + 1 = 1
y = 1

Simplifying
y = 1
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 = {1, 1}