22y^2-47y+25=0

Solution for 22y^2-47y+25=0 equation:

Simplifying
22y2 + -47y + 25 = 0

Reorder the terms:
25 + -47y + 22y2 = 0

Solving
25 + -47y + 22y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -1y)(25 + -22y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(25 + -22y)' equal to zero and attempt to solve:

Simplifying
25 + -22y = 0

Solving
25 + -22y = 0

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

Add '-25' to each side of the equation.
25 + -25 + -22y = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -22y = 0 + -25
-22y = 0 + -25

Combine like terms: 0 + -25 = -25
-22y = -25

Divide each side by '-22'.
y = 1.136363636

Simplifying
y = 1.136363636
Solution
y = {1, 1.136363636}