4p^2-112p+528=0

Solution for 4p^2-112p+528=0 equation:

Simplifying
4p2 + -112p + 528 = 0

Reorder the terms:
528 + -112p + 4p2 = 0

Solving
528 + -112p + 4p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(132 + -28p + p2) = 0

Factor a trinomial.
4((6 + -1p)(22 + -1p)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 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 + -1p = 0 + -6

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

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

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Subproblem 2
Set the factor '(22 + -1p)' equal to zero and attempt to solve:

Simplifying
22 + -1p = 0

Solving
22 + -1p = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1p = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1p = 0 + -22
-1p = 0 + -22

Combine like terms: 0 + -22 = -22
-1p = -22

Divide each side by '-1'.
p = 22

Simplifying
p = 22
Solution
p = {6, 22}