8p^2+16p-377=7

Solution for 8p^2+16p-377=7 equation:

Simplifying
8p2 + 16p + -377 = 7

Reorder the terms:
-377 + 16p + 8p2 = 7

Solving
-377 + 16p + 8p2 = 7

Solving for variable 'p'.

Reorder the terms:
-377 + -7 + 16p + 8p2 = 7 + -7

Combine like terms: -377 + -7 = -384
-384 + 16p + 8p2 = 7 + -7

Combine like terms: 7 + -7 = 0
-384 + 16p + 8p2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-48 + 2p + p2) = 0

Factor a trinomial.
8((-8 + -1p)(6 + -1p)) = 0

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

Simplifying
-8 + -1p = 0

Solving
-8 + -1p = 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 + -1p = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1p = 0 + 8
-1p = 0 + 8

Combine like terms: 0 + 8 = 8
-1p = 8

Divide each side by '-1'.
p = -8

Simplifying
p = -8
Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-8, 6}