25y^2-51y+26=0

Solution for 25y^2-51y+26=0 equation:

Simplifying
25y2 + -51y + 26 = 0

Reorder the terms:
26 + -51y + 25y2 = 0

Solving
26 + -51y + 25y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -1y)(26 + -25y) = 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 '(26 + -25y)' equal to zero and attempt to solve:

Simplifying
26 + -25y = 0

Solving
26 + -25y = 0

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

Add '-26' to each side of the equation.
26 + -26 + -25y = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -25y = 0 + -26
-25y = 0 + -26

Combine like terms: 0 + -26 = -26
-25y = -26

Divide each side by '-25'.
y = 1.04

Simplifying
y = 1.04
Solution
y = {1, 1.04}