6p^2-14p-12=0

Solution for 6p^2-14p-12=0 equation:

Simplifying
6p2 + -14p + -12 = 0

Reorder the terms:
-12 + -14p + 6p2 = 0

Solving
-12 + -14p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -7p + 3p2) = 0

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

Ignore the factor 2.
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}