P(7P+1)=0

Solution for P(7P+1)=0 equation:

Simplifying
P(7P + 1) = 0

Reorder the terms:
P(1 + 7P) = 0
(1 * P + 7P * P) = 0
(1P + 7P2) = 0

Solving
1P + 7P2 = 0

Solving for variable 'P'.

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

Simplifying
1 + 7P = 0

Solving
1 + 7P = 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 + 7P = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7P = 0 + -1
7P = 0 + -1

Combine like terms: 0 + -1 = -1
7P = -1

Divide each side by '7'.
P = -0.1428571429

Simplifying
P = -0.1428571429
Solution
P = {0, -0.1428571429}