21p^2-15p-6=0

Solution for 21p^2-15p-6=0 equation:

Simplifying
21p2 + -15p + -6 = 0

Reorder the terms:
-6 + -15p + 21p2 = 0

Solving
-6 + -15p + 21p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + -5p + 7p2) = 0

Factor a trinomial.
3((-2 + -7p)(1 + -1p)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-2 + -7p)' equal to zero and attempt to solve:

Simplifying
-2 + -7p = 0

Solving
-2 + -7p = 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 + -7p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7p = 0 + 2
-7p = 0 + 2

Combine like terms: 0 + 2 = 2
-7p = 2

Divide each side by '-7'.
p = -0.2857142857

Simplifying
p = -0.2857142857
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

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

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

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

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

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

Simplifying
p = 1
Solution
p = {-0.2857142857, 1}