p^2+34p=0

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

Simplifying
p2 + 34p = 0

Reorder the terms:
34p + p2 = 0

Solving
34p + p2 = 0

Solving for variable 'p'.

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

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

Simplifying
p = 0

Solving
p = 0

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

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

Simplifying
34 + p = 0

Solving
34 + p = 0

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

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

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

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

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