w^2+34w=0

Solution for w^2+34w=0 equation:

Simplifying
w2 + 34w = 0

Reorder the terms:
34w + w2 = 0

Solving
34w + w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(34 + w) = 0

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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(34 + w)' equal to zero and attempt to solve:

Simplifying
34 + w = 0

Solving
34 + w = 0

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

Add '-34' to each side of the equation.
34 + -34 + w = 0 + -34

Combine like terms: 34 + -34 = 0
0 + w = 0 + -34
w = 0 + -34

Combine like terms: 0 + -34 = -34
w = -34

Simplifying
w = -34
Solution
w = {0, -34}