5p^2+2p=115

Solution for 5p^2+2p=115 equation:

Simplifying
5p2 + 2p = 115

Reorder the terms:
2p + 5p2 = 115

Solving
2p + 5p2 = 115

Solving for variable 'p'.

Reorder the terms:
-115 + 2p + 5p2 = 115 + -115

Combine like terms: 115 + -115 = 0
-115 + 2p + 5p2 = 0

Factor a trinomial.
(-5 + -1p)(23 + -5p) = 0

Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve:

Simplifying
-5 + -1p = 0

Solving
-5 + -1p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1p = 0 + 5
-1p = 0 + 5

Combine like terms: 0 + 5 = 5
-1p = 5

Divide each side by '-1'.
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(23 + -5p)' equal to zero and attempt to solve:

Simplifying
23 + -5p = 0

Solving
23 + -5p = 0

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

Add '-23' to each side of the equation.
23 + -23 + -5p = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -5p = 0 + -23
-5p = 0 + -23

Combine like terms: 0 + -23 = -23
-5p = -23

Divide each side by '-5'.
p = 4.6

Simplifying
p = 4.6
Solution
p = {-5, 4.6}