7p^2=-17p-6

Solution for 7p^2=-17p-6 equation:

Simplifying
7p2 = -17p + -6

Reorder the terms:
7p2 = -6 + -17p

Solving
7p2 = -6 + -17p

Solving for variable 'p'.

Reorder the terms:
6 + 17p + 7p2 = -6 + -17p + 6 + 17p

Reorder the terms:
6 + 17p + 7p2 = -6 + 6 + -17p + 17p

Combine like terms: -6 + 6 = 0
6 + 17p + 7p2 = 0 + -17p + 17p
6 + 17p + 7p2 = -17p + 17p

Combine like terms: -17p + 17p = 0
6 + 17p + 7p2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(3 + 7p)' equal to zero and attempt to solve:

Simplifying
3 + 7p = 0

Solving
3 + 7p = 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 + 7p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7p = 0 + -3
7p = 0 + -3

Combine like terms: 0 + -3 = -3
7p = -3

Divide each side by '7'.
p = -0.4285714286

Simplifying
p = -0.4285714286
Solution
p = {-2, -0.4285714286}