11p^2+63p+50=4p^2-6

Solution for 11p^2+63p+50=4p^2-6 equation:

Simplifying
11p2 + 63p + 50 = 4p2 + -6

Reorder the terms:
50 + 63p + 11p2 = 4p2 + -6

Reorder the terms:
50 + 63p + 11p2 = -6 + 4p2

Solving
50 + 63p + 11p2 = -6 + 4p2

Solving for variable 'p'.

Reorder the terms:
50 + 6 + 63p + 11p2 + -4p2 = -6 + 4p2 + 6 + -4p2

Combine like terms: 50 + 6 = 56
56 + 63p + 11p2 + -4p2 = -6 + 4p2 + 6 + -4p2

Combine like terms: 11p2 + -4p2 = 7p2
56 + 63p + 7p2 = -6 + 4p2 + 6 + -4p2

Reorder the terms:
56 + 63p + 7p2 = -6 + 6 + 4p2 + -4p2

Combine like terms: -6 + 6 = 0
56 + 63p + 7p2 = 0 + 4p2 + -4p2
56 + 63p + 7p2 = 4p2 + -4p2

Combine like terms: 4p2 + -4p2 = 0
56 + 63p + 7p2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(8 + 9p + p2) = 0

Factor a trinomial.
7((8 + p)(1 + p)) = 0

Ignore the factor 7.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

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

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

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

Simplifying
p = -1
Solution
p = {-8, -1}