2p^2+84p=0

Solution for 2p^2+84p=0 equation:

Simplifying
2p2 + 84p = 0

Reorder the terms:
84p + 2p2 = 0

Solving
84p + 2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p'.
2p(42 + p) = 0

Ignore the factor 2.
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 '(42 + p)' equal to zero and attempt to solve:

Simplifying
42 + p = 0

Solving
42 + p = 0

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

Add '-42' to each side of the equation.
42 + -42 + p = 0 + -42

Combine like terms: 42 + -42 = 0
0 + p = 0 + -42
p = 0 + -42

Combine like terms: 0 + -42 = -42
p = -42

Simplifying
p = -42
Solution
p = {0, -42}