3p-16p=p(p-7)

Solution for 3p-16p=p(p-7) equation:

Simplifying
3p + -16p = p(p + -7)

Combine like terms: 3p + -16p = -13p
-13p = p(p + -7)

Reorder the terms:
-13p = p(-7 + p)
-13p = (-7 * p + p * p)
-13p = (-7p + p2)

Solving
-13p = -7p + p2

Solving for variable 'p'.

Combine like terms: -13p + 7p = -6p
-6p + -1p2 = -7p + p2 + 7p + -1p2

Reorder the terms:
-6p + -1p2 = -7p + 7p + p2 + -1p2

Combine like terms: -7p + 7p = 0
-6p + -1p2 = 0 + p2 + -1p2
-6p + -1p2 = p2 + -1p2

Combine like terms: p2 + -1p2 = 0
-6p + -1p2 = 0

Factor out the Greatest Common Factor (GCF), '-1p'.
-1p(6 + p) = 0

Ignore the factor -1.
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 + p)' equal to zero and attempt to solve:

Simplifying
6 + p = 0

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

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

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

Simplifying
p = -6
Solution
p = {0, -6}