7p^2+p-6=

Solution for 7p^2+p-6= equation:

Simplifying
7p2 + p + -6 = 0

Reorder the terms:
-6 + p + 7p2 = 0

Solving
-6 + p + 7p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-1 + -1p)(6 + -7p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -7p)' equal to zero and attempt to solve:

Simplifying
6 + -7p = 0

Solving
6 + -7p = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7p = 0 + -6

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

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

Divide each side by '-7'.
p = 0.8571428571

Simplifying
p = 0.8571428571
Solution
p = {-1, 0.8571428571}