y^2+15y-154=0

Solution for y^2+15y-154=0 equation:

Simplifying
y2 + 15y + -154 = 0

Reorder the terms:
-154 + 15y + y2 = 0

Solving
-154 + 15y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-22 + -1y)(7 + -1y) = 0

Subproblem 1
Set the factor '(-22 + -1y)' equal to zero and attempt to solve:

Simplifying
-22 + -1y = 0

Solving
-22 + -1y = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1y = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1y = 0 + 22
-1y = 0 + 22

Combine like terms: 0 + 22 = 22
-1y = 22

Divide each side by '-1'.
y = -22

Simplifying
y = -22
Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {-22, 7}