7p^2=-12-44p

Solution for 7p^2=-12-44p equation:

Simplifying
7p2 = -12 + -44p

Solving
7p2 = -12 + -44p

Solving for variable 'p'.

Reorder the terms:
12 + 44p + 7p2 = -12 + -44p + 12 + 44p

Reorder the terms:
12 + 44p + 7p2 = -12 + 12 + -44p + 44p

Combine like terms: -12 + 12 = 0
12 + 44p + 7p2 = 0 + -44p + 44p
12 + 44p + 7p2 = -44p + 44p

Combine like terms: -44p + 44p = 0
12 + 44p + 7p2 = 0

Factor a trinomial.
(6 + p)(2 + 7p) = 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 '(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 = {-6, -0.2857142857}