w^2+15w+14=

Solution for w^2+15w+14= equation:

Simplifying
w2 + 15w + 14 = 0

Reorder the terms:
14 + 15w + w2 = 0

Solving
14 + 15w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(14 + w)(1 + w) = 0

Subproblem 1
Set the factor '(14 + w)' equal to zero and attempt to solve:

Simplifying
14 + w = 0

Solving
14 + w = 0

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

Add '-14' to each side of the equation.
14 + -14 + w = 0 + -14

Combine like terms: 14 + -14 = 0
0 + w = 0 + -14
w = 0 + -14

Combine like terms: 0 + -14 = -14
w = -14

Simplifying
w = -14
Subproblem 2
Set the factor '(1 + w)' equal to zero and attempt to solve:

Simplifying
1 + w = 0

Solving
1 + w = 0

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

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

Combine like terms: 1 + -1 = 0
0 + w = 0 + -1
w = 0 + -1

Combine like terms: 0 + -1 = -1
w = -1

Simplifying
w = -1
Solution
w = {-14, -1}