25y^2-46y+21=0

Solution for 25y^2-46y+21=0 equation:

Simplifying
25y2 + -46y + 21 = 0

Reorder the terms:
21 + -46y + 25y2 = 0

Solving
21 + -46y + 25y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(21 + -25y)(1 + -1y) = 0

Subproblem 1
Set the factor '(21 + -25y)' equal to zero and attempt to solve:

Simplifying
21 + -25y = 0

Solving
21 + -25y = 0

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

Add '-21' to each side of the equation.
21 + -21 + -25y = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -25y = 0 + -21
-25y = 0 + -21

Combine like terms: 0 + -21 = -21
-25y = -21

Divide each side by '-25'.
y = 0.84

Simplifying
y = 0.84
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 = {0.84, 1}