3p^2-7p-9=-3

Solution for 3p^2-7p-9=-3 equation:

Simplifying
3p2 + -7p + -9 = -3

Reorder the terms:
-9 + -7p + 3p2 = -3

Solving
-9 + -7p + 3p2 = -3

Solving for variable 'p'.

Reorder the terms:
-9 + 3 + -7p + 3p2 = -3 + 3

Combine like terms: -9 + 3 = -6
-6 + -7p + 3p2 = -3 + 3

Combine like terms: -3 + 3 = 0
-6 + -7p + 3p2 = 0

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

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

Simplifying
-2 + -3p = 0

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

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

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

Divide each side by '-3'.
p = -0.6666666667

Simplifying
p = -0.6666666667
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 = {-0.6666666667, 3}