6p=-7p^2

Solution for 6p=-7p^2 equation:

Simplifying
6p = -7p2

Solving
6p = -7p2

Solving for variable 'p'.

Combine like terms: -7p2 + 7p2 = 0
6p + 7p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(6 + 7p) = 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 + 7p)' equal to zero and attempt to solve:

Simplifying
6 + 7p = 0

Solving
6 + 7p = 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 + 7p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7p = 0 + -6
7p = 0 + -6

Combine like terms: 0 + -6 = -6
7p = -6

Divide each side by '7'.
p = -0.8571428571

Simplifying
p = -0.8571428571
Solution
p = {0, -0.8571428571}