7p^2=-21p

Solution for 7p^2=-21p equation:

Simplifying
7p2 = -21p

Solving
7p2 = -21p

Solving for variable 'p'.

Reorder the terms:
21p + 7p2 = -21p + 21p

Combine like terms: -21p + 21p = 0
21p + 7p2 = 0

Factor out the Greatest Common Factor (GCF), '7p'.
7p(3 + p) = 0

Ignore the factor 7.
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 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

Solving
3 + p = 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 + p = 0 + -3

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

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

Simplifying
p = -3
Solution
p = {0, -3}