31p^2+42p=0

Solution for 31p^2+42p=0 equation:

Simplifying
31p2 + 42p = 0

Reorder the terms:
42p + 31p2 = 0

Solving
42p + 31p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(42 + 31p) = 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 '(42 + 31p)' equal to zero and attempt to solve:

Simplifying
42 + 31p = 0

Solving
42 + 31p = 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 + 31p = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 31p = 0 + -42
31p = 0 + -42

Combine like terms: 0 + -42 = -42
31p = -42

Divide each side by '31'.
p = -1.35483871

Simplifying
p = -1.35483871
Solution
p = {0, -1.35483871}