6p^2-27p-56=-2

Solution for 6p^2-27p-56=-2 equation:

Simplifying
6p2 + -27p + -56 = -2

Reorder the terms:
-56 + -27p + 6p2 = -2

Solving
-56 + -27p + 6p2 = -2

Solving for variable 'p'.

Reorder the terms:
-56 + 2 + -27p + 6p2 = -2 + 2

Combine like terms: -56 + 2 = -54
-54 + -27p + 6p2 = -2 + 2

Combine like terms: -2 + 2 = 0
-54 + -27p + 6p2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-18 + -9p + 2p2) = 0

Factor a trinomial.
3((-3 + -2p)(6 + -1p)) = 0

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

Simplifying
-3 + -2p = 0

Solving
-3 + -2p = 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 + -2p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2p = 0 + 3
-2p = 0 + 3

Combine like terms: 0 + 3 = 3
-2p = 3

Divide each side by '-2'.
p = -1.5

Simplifying
p = -1.5
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 = {-1.5, 6}