p^2+20p+70=6

Solution for p^2+20p+70=6 equation:

Simplifying
p2 + 20p + 70 = 6

Reorder the terms:
70 + 20p + p2 = 6

Solving
70 + 20p + p2 = 6

Solving for variable 'p'.

Reorder the terms:
70 + -6 + 20p + p2 = 6 + -6

Combine like terms: 70 + -6 = 64
64 + 20p + p2 = 6 + -6

Combine like terms: 6 + -6 = 0
64 + 20p + p2 = 0

Factor a trinomial.
(16 + p)(4 + p) = 0

Subproblem 1
Set the factor '(16 + p)' equal to zero and attempt to solve:

Simplifying
16 + p = 0

Solving
16 + p = 0

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

Add '-16' to each side of the equation.
16 + -16 + p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + p = 0 + -16
p = 0 + -16

Combine like terms: 0 + -16 = -16
p = -16

Simplifying
p = -16
Subproblem 2
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
Solution
p = {-16, -4}