14-7p=-7p(p-1)

Solution for 14-7p=-7p(p-1) equation:

Simplifying
14 + -7p = -7p(p + -1)

Reorder the terms:
14 + -7p = -7p(-1 + p)
14 + -7p = (-1 * -7p + p * -7p)
14 + -7p = (7p + -7p2)

Solving
14 + -7p = 7p + -7p2

Solving for variable 'p'.

Combine like terms: -7p + -7p = -14p
14 + -14p + 7p2 = 7p + -7p2 + -7p + 7p2

Reorder the terms:
14 + -14p + 7p2 = 7p + -7p + -7p2 + 7p2

Combine like terms: 7p + -7p = 0
14 + -14p + 7p2 = 0 + -7p2 + 7p2
14 + -14p + 7p2 = -7p2 + 7p2

Combine like terms: -7p2 + 7p2 = 0
14 + -14p + 7p2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(2 + -2p + p2) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(2 + -2p + p2)' equal to zero and attempt to solve:

Simplifying
2 + -2p + p2 = 0

Solving
2 + -2p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2p + -2 + p2 = 0 + -2

Reorder the terms:
2 + -2 + -2p + p2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2p + p2 = 0 + -2
-2p + p2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2p + p2 = -2

The p term is -2p.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2p + 1 + p2 = -2 + 1

Reorder the terms:
1 + -2p + p2 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + -2p + p2 = -1

Factor a perfect square on the left side:
(p + -1)(p + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.