5p^2=-3p

Solution for 5p^2=-3p equation:

Simplifying
5p2 = -3p

Solving
5p2 = -3p

Solving for variable 'p'.

Reorder the terms:
3p + 5p2 = -3p + 3p

Combine like terms: -3p + 3p = 0
3p + 5p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(3 + 5p) = 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 '(3 + 5p)' equal to zero and attempt to solve:

Simplifying
3 + 5p = 0

Solving
3 + 5p = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5p = 0 + -3
5p = 0 + -3

Combine like terms: 0 + -3 = -3
5p = -3

Divide each side by '5'.
p = -0.6

Simplifying
p = -0.6
Solution
p = {0, -0.6}