7p^2+30p+8=0

Solution for 7p^2+30p+8=0 equation:

Simplifying
7p2 + 30p + 8 = 0

Reorder the terms:
8 + 30p + 7p2 = 0

Solving
8 + 30p + 7p2 = 0

Solving for variable 'p'.

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

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

Simplifying
2 + 7p = 0

Solving
2 + 7p = 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 + 7p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7p = 0 + -2
7p = 0 + -2

Combine like terms: 0 + -2 = -2
7p = -2

Divide each side by '7'.
p = -0.2857142857

Simplifying
p = -0.2857142857
Solution
p = {-4, -0.2857142857}