7p^2+112+70p=0

Solution for 7p^2+112+70p=0 equation:

Simplifying
7p2 + 112 + 70p = 0

Reorder the terms:
112 + 70p + 7p2 = 0

Solving
112 + 70p + 7p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '7'.
7(16 + 10p + p2) = 0

Factor a trinomial.
7((8 + p)(2 + p)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve:

Simplifying
8 + p = 0

Solving
8 + p = 0

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

Add '-8' to each side of the equation.
8 + -8 + p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + p = 0 + -8
p = 0 + -8

Combine like terms: 0 + -8 = -8
p = -8

Simplifying
p = -8
Subproblem 2
Set the factor '(2 + p)' equal to zero and attempt to solve:

Simplifying
2 + p = 0

Solving
2 + p = 0

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

Add '-2' to each side of the equation.
2 + -2 + p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + p = 0 + -2
p = 0 + -2

Combine like terms: 0 + -2 = -2
p = -2

Simplifying
p = -2
Solution
p = {-8, -2}