3p^2+6p-21=3

Solution for 3p^2+6p-21=3 equation:

Simplifying
3p2 + 6p + -21 = 3

Reorder the terms:
-21 + 6p + 3p2 = 3

Solving
-21 + 6p + 3p2 = 3

Solving for variable 'p'.

Reorder the terms:
-21 + -3 + 6p + 3p2 = 3 + -3

Combine like terms: -21 + -3 = -24
-24 + 6p + 3p2 = 3 + -3

Combine like terms: 3 + -3 = 0
-24 + 6p + 3p2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 2p + p2) = 0

Factor a trinomial.
3((-4 + -1p)(2 + -1p)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve:

Simplifying
-4 + -1p = 0

Solving
-4 + -1p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1p = 0 + 4
-1p = 0 + 4

Combine like terms: 0 + 4 = 4
-1p = 4

Divide each side by '-1'.
p = -4

Simplifying
p = -4
Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 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 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {-4, 2}