-7p^2-11p=-3-7p-8p^2

Solution for -7p^2-11p=-3-7p-8p^2 equation:

Simplifying
-7p2 + -11p = -3 + -7p + -8p2

Reorder the terms:
-11p + -7p2 = -3 + -7p + -8p2

Solving
-11p + -7p2 = -3 + -7p + -8p2

Solving for variable 'p'.

Reorder the terms:
3 + -11p + 7p + -7p2 + 8p2 = -3 + -7p + -8p2 + 3 + 7p + 8p2

Combine like terms: -11p + 7p = -4p
3 + -4p + -7p2 + 8p2 = -3 + -7p + -8p2 + 3 + 7p + 8p2

Combine like terms: -7p2 + 8p2 = 1p2
3 + -4p + 1p2 = -3 + -7p + -8p2 + 3 + 7p + 8p2

Reorder the terms:
3 + -4p + 1p2 = -3 + 3 + -7p + 7p + -8p2 + 8p2

Combine like terms: -3 + 3 = 0
3 + -4p + 1p2 = 0 + -7p + 7p + -8p2 + 8p2
3 + -4p + 1p2 = -7p + 7p + -8p2 + 8p2

Combine like terms: -7p + 7p = 0
3 + -4p + 1p2 = 0 + -8p2 + 8p2
3 + -4p + 1p2 = -8p2 + 8p2

Combine like terms: -8p2 + 8p2 = 0
3 + -4p + 1p2 = 0

Factor a trinomial.
(1 + -1p)(3 + -1p) = 0

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

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

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

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

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

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

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

Simplifying
p = 1
Subproblem 2
Set the factor '(3 + -1p)' equal to zero and attempt to solve:

Simplifying
3 + -1p = 0

Solving
3 + -1p = 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 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Solution
p = {1, 3}