7p^2-16p-21=-6

Solution for 7p^2-16p-21=-6 equation:

Simplifying
7p2 + -16p + -21 = -6

Reorder the terms:
-21 + -16p + 7p2 = -6

Solving
-21 + -16p + 7p2 = -6

Solving for variable 'p'.

Reorder the terms:
-21 + 6 + -16p + 7p2 = -6 + 6

Combine like terms: -21 + 6 = -15
-15 + -16p + 7p2 = -6 + 6

Combine like terms: -6 + 6 = 0
-15 + -16p + 7p2 = 0

Factor a trinomial.
(-5 + -7p)(3 + -1p) = 0

Subproblem 1
Set the factor '(-5 + -7p)' equal to zero and attempt to solve:

Simplifying
-5 + -7p = 0

Solving
-5 + -7p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -7p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7p = 0 + 5
-7p = 0 + 5

Combine like terms: 0 + 5 = 5
-7p = 5

Divide each side by '-7'.
p = -0.7142857143

Simplifying
p = -0.7142857143
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 = {-0.7142857143, 3}