-5p^2-7p+11=5

Solution for -5p^2-7p+11=5 equation:

Simplifying
-5p2 + -7p + 11 = 5

Reorder the terms:
11 + -7p + -5p2 = 5

Solving
11 + -7p + -5p2 = 5

Solving for variable 'p'.

Reorder the terms:
11 + -5 + -7p + -5p2 = 5 + -5

Combine like terms: 11 + -5 = 6
6 + -7p + -5p2 = 5 + -5

Combine like terms: 5 + -5 = 0
6 + -7p + -5p2 = 0

Factor a trinomial.
(3 + -5p)(2 + p) = 0

Subproblem 1
Set the factor '(3 + -5p)' equal to zero and attempt to solve:

Simplifying
3 + -5p = 0

Solving
3 + -5p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5p = 0 + -3
-5p = 0 + -3

Combine like terms: 0 + -3 = -3
-5p = -3

Divide each side by '-5'.
p = 0.6

Simplifying
p = 0.6
Subproblem 2
Set the factor '(2 + p)' equal to zero and attempt to solve:

Simplifying
2 + p = 0

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

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

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

Simplifying
p = -2
Solution
p = {0.6, -2}