2(p^2-66)=-13p

Solution for 2(p^2-66)=-13p equation:

Simplifying
2(p2 + -66) = -13p

Reorder the terms:
2(-66 + p2) = -13p
(-66 * 2 + p2 * 2) = -13p
(-132 + 2p2) = -13p

Solving
-132 + 2p2 = -13p

Solving for variable 'p'.

Reorder the terms:
-132 + 13p + 2p2 = -13p + 13p

Combine like terms: -13p + 13p = 0
-132 + 13p + 2p2 = 0

Factor a trinomial.
(-12 + -1p)(11 + -2p) = 0

Subproblem 1
Set the factor '(-12 + -1p)' equal to zero and attempt to solve:

Simplifying
-12 + -1p = 0

Solving
-12 + -1p = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1p = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1p = 0 + 12
-1p = 0 + 12

Combine like terms: 0 + 12 = 12
-1p = 12

Divide each side by '-1'.
p = -12

Simplifying
p = -12
Subproblem 2
Set the factor '(11 + -2p)' equal to zero and attempt to solve:

Simplifying
11 + -2p = 0

Solving
11 + -2p = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2p = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2p = 0 + -11
-2p = 0 + -11

Combine like terms: 0 + -11 = -11
-2p = -11

Divide each side by '-2'.
p = 5.5

Simplifying
p = 5.5
Solution
p = {-12, 5.5}