49p^2-49p-6=2

Solution for 49p^2-49p-6=2 equation:

Simplifying
49p2 + -49p + -6 = 2

Reorder the terms:
-6 + -49p + 49p2 = 2

Solving
-6 + -49p + 49p2 = 2

Solving for variable 'p'.

Reorder the terms:
-6 + -2 + -49p + 49p2 = 2 + -2

Combine like terms: -6 + -2 = -8
-8 + -49p + 49p2 = 2 + -2

Combine like terms: 2 + -2 = 0
-8 + -49p + 49p2 = 0

Factor a trinomial.
(-1 + -7p)(8 + -7p) = 0

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

Simplifying
-1 + -7p = 0

Solving
-1 + -7p = 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 + -7p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7p = 0 + 1
-7p = 0 + 1

Combine like terms: 0 + 1 = 1
-7p = 1

Divide each side by '-7'.
p = -0.1428571429

Simplifying
p = -0.1428571429
Subproblem 2
Set the factor '(8 + -7p)' equal to zero and attempt to solve:

Simplifying
8 + -7p = 0

Solving
8 + -7p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7p = 0 + -8
-7p = 0 + -8

Combine like terms: 0 + -8 = -8
-7p = -8

Divide each side by '-7'.
p = 1.142857143

Simplifying
p = 1.142857143
Solution
p = {-0.1428571429, 1.142857143}