y^2-108y+2900=0

Solution for y^2-108y+2900=0 equation:

Simplifying
y2 + -108y + 2900 = 0

Reorder the terms:
2900 + -108y + y2 = 0

Solving
2900 + -108y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(50 + -1y)(58 + -1y) = 0

Subproblem 1
Set the factor '(50 + -1y)' equal to zero and attempt to solve:

Simplifying
50 + -1y = 0

Solving
50 + -1y = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1y = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1y = 0 + -50
-1y = 0 + -50

Combine like terms: 0 + -50 = -50
-1y = -50

Divide each side by '-1'.
y = 50

Simplifying
y = 50
Subproblem 2
Set the factor '(58 + -1y)' equal to zero and attempt to solve:

Simplifying
58 + -1y = 0

Solving
58 + -1y = 0

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

Add '-58' to each side of the equation.
58 + -58 + -1y = 0 + -58

Combine like terms: 58 + -58 = 0
0 + -1y = 0 + -58
-1y = 0 + -58

Combine like terms: 0 + -58 = -58
-1y = -58

Divide each side by '-1'.
y = 58

Simplifying
y = 58
Solution
y = {50, 58}