y^2-25y-150=0

Solution for y^2-25y-150=0 equation:

Simplifying
y2 + -25y + -150 = 0

Reorder the terms:
-150 + -25y + y2 = 0

Solving
-150 + -25y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -1y)(30 + -1y) = 0

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

Simplifying
-5 + -1y = 0

Solving
-5 + -1y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1y = 0 + 5

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

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

Divide each side by '-1'.
y = -5

Simplifying
y = -5
Subproblem 2
Set the factor '(30 + -1y)' equal to zero and attempt to solve:

Simplifying
30 + -1y = 0

Solving
30 + -1y = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1y = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1y = 0 + -30
-1y = 0 + -30

Combine like terms: 0 + -30 = -30
-1y = -30

Divide each side by '-1'.
y = 30

Simplifying
y = 30
Solution
y = {-5, 30}