-2p^2+88=5p

Solution for -2p^2+88=5p equation:

Simplifying
-2p2 + 88 = 5p

Reorder the terms:
88 + -2p2 = 5p

Solving
88 + -2p2 = 5p

Solving for variable 'p'.

Reorder the terms:
88 + -5p + -2p2 = 5p + -5p

Combine like terms: 5p + -5p = 0
88 + -5p + -2p2 = 0

Factor a trinomial.
(11 + -2p)(8 + p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + p)' equal to zero and attempt to solve:

Simplifying
8 + p = 0

Solving
8 + p = 0

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

Add '-8' to each side of the equation.
8 + -8 + p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + p = 0 + -8
p = 0 + -8

Combine like terms: 0 + -8 = -8
p = -8

Simplifying
p = -8
Solution
p = {5.5, -8}