25y-y^2-156=0

Solution for 25y-y^2-156=0 equation:

Simplifying
25y + -1y2 + -156 = 0

Reorder the terms:
-156 + 25y + -1y2 = 0

Solving
-156 + 25y + -1y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-13 + y)(12 + -1y) = 0

Subproblem 1
Set the factor '(-13 + y)' equal to zero and attempt to solve:

Simplifying
-13 + y = 0

Solving
-13 + y = 0

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

Add '13' to each side of the equation.
-13 + 13 + y = 0 + 13

Combine like terms: -13 + 13 = 0
0 + y = 0 + 13
y = 0 + 13

Combine like terms: 0 + 13 = 13
y = 13

Simplifying
y = 13
Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve:

Simplifying
12 + -1y = 0

Solving
12 + -1y = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = 0 + -12
-1y = 0 + -12

Combine like terms: 0 + -12 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12
Solution
y = {13, 12}