10y^2-19y+9=0

Solution for 10y^2-19y+9=0 equation:

Simplifying
10y2 + -19y + 9 = 0

Reorder the terms:
9 + -19y + 10y2 = 0

Solving
9 + -19y + 10y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + -10y)(1 + -1y) = 0

Subproblem 1
Set the factor '(9 + -10y)' equal to zero and attempt to solve:

Simplifying
9 + -10y = 0

Solving
9 + -10y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -10y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -10y = 0 + -9
-10y = 0 + -9

Combine like terms: 0 + -9 = -9
-10y = -9

Divide each side by '-10'.
y = 0.9

Simplifying
y = 0.9
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 = {0.9, 1}