5y^2-126y+25=0

Solution for 5y^2-126y+25=0 equation:

Simplifying
5y2 + -126y + 25 = 0

Reorder the terms:
25 + -126y + 5y2 = 0

Solving
25 + -126y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -5y)(25 + -1y) = 0

Subproblem 1
Set the factor '(1 + -5y)' equal to zero and attempt to solve:

Simplifying
1 + -5y = 0

Solving
1 + -5y = 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 + -5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = 0 + -1
-5y = 0 + -1

Combine like terms: 0 + -1 = -1
-5y = -1

Divide each side by '-5'.
y = 0.2

Simplifying
y = 0.2
Subproblem 2
Set the factor '(25 + -1y)' equal to zero and attempt to solve:

Simplifying
25 + -1y = 0

Solving
25 + -1y = 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 + -1y = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1y = 0 + -25
-1y = 0 + -25

Combine like terms: 0 + -25 = -25
-1y = -25

Divide each side by '-1'.
y = 25

Simplifying
y = 25
Solution
y = {0.2, 25}