-14P^2=7P

Solution for -14P^2=7P equation:

Simplifying
-14P2 = 7P

Solving
-14P2 = 7P

Solving for variable 'P'.

Reorder the terms:
-7P + -14P2 = 7P + -7P

Combine like terms: 7P + -7P = 0
-7P + -14P2 = 0

Factor out the Greatest Common Factor (GCF), '-7P'.
-7P(1 + 2P) = 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 '(1 + 2P)' equal to zero and attempt to solve:

Simplifying
1 + 2P = 0

Solving
1 + 2P = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2P = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2P = 0 + -1
2P = 0 + -1

Combine like terms: 0 + -1 = -1
2P = -1

Divide each side by '2'.
P = -0.5

Simplifying
P = -0.5
Solution
P = {0, -0.5}