7p^2+29p+4=0

Solution for 7p^2+29p+4=0 equation:

Simplifying
7p2 + 29p + 4 = 0

Reorder the terms:
4 + 29p + 7p2 = 0

Solving
4 + 29p + 7p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(4 + p)(1 + 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 '(1 + 7p)' equal to zero and attempt to solve:

Simplifying
1 + 7p = 0

Solving
1 + 7p = 0

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

Add '-1' to each side of the equation.
1 + -1 + 7p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7p = 0 + -1
7p = 0 + -1

Combine like terms: 0 + -1 = -1
7p = -1

Divide each side by '7'.
p = -0.1428571429

Simplifying
p = -0.1428571429
Solution
p = {-4, -0.1428571429}