p^2+56p+784=1

Solution for p^2+56p+784=1 equation:

Simplifying
p2 + 56p + 784 = 1

Reorder the terms:
784 + 56p + p2 = 1

Solving
784 + 56p + p2 = 1

Solving for variable 'p'.

Reorder the terms:
784 + -1 + 56p + p2 = 1 + -1

Combine like terms: 784 + -1 = 783
783 + 56p + p2 = 1 + -1

Combine like terms: 1 + -1 = 0
783 + 56p + p2 = 0

Factor a trinomial.
(29 + p)(27 + p) = 0

Subproblem 1
Set the factor '(29 + p)' equal to zero and attempt to solve:

Simplifying
29 + p = 0

Solving
29 + p = 0

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

Add '-29' to each side of the equation.
29 + -29 + p = 0 + -29

Combine like terms: 29 + -29 = 0
0 + p = 0 + -29
p = 0 + -29

Combine like terms: 0 + -29 = -29
p = -29

Simplifying
p = -29
Subproblem 2
Set the factor '(27 + p)' equal to zero and attempt to solve:

Simplifying
27 + p = 0

Solving
27 + p = 0

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

Add '-27' to each side of the equation.
27 + -27 + p = 0 + -27

Combine like terms: 27 + -27 = 0
0 + p = 0 + -27
p = 0 + -27

Combine like terms: 0 + -27 = -27
p = -27

Simplifying
p = -27
Solution
p = {-29, -27}