y^2+9y+14y=0

Solution for y^2+9y+14y=0 equation:

Simplifying
y2 + 9y + 14y = 0

Reorder the terms:
9y + 14y + y2 = 0

Combine like terms: 9y + 14y = 23y
23y + y2 = 0

Solving
23y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(23 + y) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(23 + y)' equal to zero and attempt to solve:

Simplifying
23 + y = 0

Solving
23 + y = 0

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

Add '-23' to each side of the equation.
23 + -23 + y = 0 + -23

Combine like terms: 23 + -23 = 0
0 + y = 0 + -23
y = 0 + -23

Combine like terms: 0 + -23 = -23
y = -23

Simplifying
y = -23
Solution
y = {0, -23}