28p^2-168p-196=0

Solution for 28p^2-168p-196=0 equation:

Simplifying
28p2 + -168p + -196 = 0

Reorder the terms:
-196 + -168p + 28p2 = 0

Solving
-196 + -168p + 28p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '28'.
28(-7 + -6p + p2) = 0

Factor a trinomial.
28((-1 + -1p)(7 + -1p)) = 0

Ignore the factor 28.
Subproblem 1
Set the factor '(-1 + -1p)' equal to zero and attempt to solve:

Simplifying
-1 + -1p = 0

Solving
-1 + -1p = 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 + -1p = 0 + 1

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

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

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

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

Simplifying
7 + -1p = 0

Solving
7 + -1p = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1p = 0 + -7

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

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

Divide each side by '-1'.
p = 7

Simplifying
p = 7
Solution
p = {-1, 7}