35p^2+31p+6=0

Solution for 35p^2+31p+6=0 equation:

Simplifying
35p2 + 31p + 6 = 0

Reorder the terms:
6 + 31p + 35p2 = 0

Solving
6 + 31p + 35p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(3 + 5p)(2 + 7p) = 0

Subproblem 1
Set the factor '(3 + 5p)' equal to zero and attempt to solve:

Simplifying
3 + 5p = 0

Solving
3 + 5p = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5p = 0 + -3
5p = 0 + -3

Combine like terms: 0 + -3 = -3
5p = -3

Divide each side by '5'.
p = -0.6

Simplifying
p = -0.6
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 = {-0.6, -0.2857142857}