y^2-19y-150=0

Solution for y^2-19y-150=0 equation:

Simplifying
y2 + -19y + -150 = 0

Reorder the terms:
-150 + -19y + y2 = 0

Solving
-150 + -19y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + -1y)(25 + -1y) = 0

Subproblem 1
Set the factor '(-6 + -1y)' equal to zero and attempt to solve:

Simplifying
-6 + -1y = 0

Solving
-6 + -1y = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = 0 + 6
-1y = 0 + 6

Combine like terms: 0 + 6 = 6
-1y = 6

Divide each side by '-1'.
y = -6

Simplifying
y = -6
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 = {-6, 25}