6p-8=p^2

Solution for 6p-8=p^2 equation:

Simplifying
6p + -8 = p2

Reorder the terms:
-8 + 6p = p2

Solving
-8 + 6p = p2

Solving for variable 'p'.

Combine like terms: p2 + -1p2 = 0
-8 + 6p + -1p2 = 0

Factor a trinomial.
(-4 + p)(2 + -1p) = 0

Subproblem 1
Set the factor '(-4 + p)' equal to zero and attempt to solve:

Simplifying
-4 + p = 0

Solving
-4 + p = 0

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

Add '4' to each side of the equation.
-4 + 4 + p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + p = 0 + 4
p = 0 + 4

Combine like terms: 0 + 4 = 4
p = 4

Simplifying
p = 4
Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

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

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

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

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {4, 2}