4p^2-68p+168=0

Solution for 4p^2-68p+168=0 equation:

Simplifying
4p2 + -68p + 168 = 0

Reorder the terms:
168 + -68p + 4p2 = 0

Solving
168 + -68p + 4p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(42 + -17p + p2) = 0

Factor a trinomial.
4((3 + -1p)(14 + -1p)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

Solving
3 + -1p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Subproblem 2
Set the factor '(14 + -1p)' equal to zero and attempt to solve:

Simplifying
14 + -1p = 0

Solving
14 + -1p = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1p = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1p = 0 + -14
-1p = 0 + -14

Combine like terms: 0 + -14 = -14
-1p = -14

Divide each side by '-1'.
p = 14

Simplifying
p = 14
Solution
p = {3, 14}