(7p+6)(p-6)=0

Solution for (7p+6)(p-6)=0 equation:

Simplifying
(7p + 6)(p + -6) = 0

Reorder the terms:
(6 + 7p)(p + -6) = 0

Reorder the terms:
(6 + 7p)(-6 + p) = 0

Multiply (6 + 7p) * (-6 + p)
(6(-6 + p) + 7p * (-6 + p)) = 0
((-6 * 6 + p * 6) + 7p * (-6 + p)) = 0
((-36 + 6p) + 7p * (-6 + p)) = 0
(-36 + 6p + (-6 * 7p + p * 7p)) = 0
(-36 + 6p + (-42p + 7p2)) = 0

Combine like terms: 6p + -42p = -36p
(-36 + -36p + 7p2) = 0

Solving
-36 + -36p + 7p2 = 0

Solving for variable 'p'.

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

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

Simplifying
6 + -1p = 0

Solving
6 + -1p = 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 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {-0.8571428571, 6}