5p^2=-6p

Solution for 5p^2=-6p equation:

Simplifying
5p2 = -6p

Solving
5p2 = -6p

Solving for variable 'p'.

Reorder the terms:
6p + 5p2 = -6p + 6p

Combine like terms: -6p + 6p = 0
6p + 5p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(6 + 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 '(6 + 5p)' equal to zero and attempt to solve:

Simplifying
6 + 5p = 0

Solving
6 + 5p = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5p = 0 + -6
5p = 0 + -6

Combine like terms: 0 + -6 = -6
5p = -6

Divide each side by '5'.
p = -1.2

Simplifying
p = -1.2
Solution
p = {0, -1.2}