2p^2+6=-13p

Solution for 2p^2+6=-13p equation:

Simplifying
2p2 + 6 = -13p

Reorder the terms:
6 + 2p2 = -13p

Solving
6 + 2p2 = -13p

Solving for variable 'p'.

Reorder the terms:
6 + 13p + 2p2 = -13p + 13p

Combine like terms: -13p + 13p = 0
6 + 13p + 2p2 = 0

Factor a trinomial.
(6 + p)(1 + 2p) = 0

Subproblem 1
Set the factor '(6 + p)' equal to zero and attempt to solve:

Simplifying
6 + p = 0

Solving
6 + p = 0

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

Add '-6' to each side of the equation.
6 + -6 + p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + p = 0 + -6
p = 0 + -6

Combine like terms: 0 + -6 = -6
p = -6

Simplifying
p = -6
Subproblem 2
Set the factor '(1 + 2p)' equal to zero and attempt to solve:

Simplifying
1 + 2p = 0

Solving
1 + 2p = 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 + 2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2p = 0 + -1
2p = 0 + -1

Combine like terms: 0 + -1 = -1
2p = -1

Divide each side by '2'.
p = -0.5

Simplifying
p = -0.5
Solution
p = {-6, -0.5}