(6p+5)(7p+6)=

Solution for (6p+5)(7p+6)= equation:

Simplifying
(6p + 5)(7p + 6) = 0

Reorder the terms:
(5 + 6p)(7p + 6) = 0

Reorder the terms:
(5 + 6p)(6 + 7p) = 0

Multiply (5 + 6p) * (6 + 7p)
(5(6 + 7p) + 6p * (6 + 7p)) = 0
((6 * 5 + 7p * 5) + 6p * (6 + 7p)) = 0
((30 + 35p) + 6p * (6 + 7p)) = 0
(30 + 35p + (6 * 6p + 7p * 6p)) = 0
(30 + 35p + (36p + 42p2)) = 0

Combine like terms: 35p + 36p = 71p
(30 + 71p + 42p2) = 0

Solving
30 + 71p + 42p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(6 + 7p)(5 + 6p) = 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 '(5 + 6p)' equal to zero and attempt to solve:

Simplifying
5 + 6p = 0

Solving
5 + 6p = 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 + 6p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6p = 0 + -5
6p = 0 + -5

Combine like terms: 0 + -5 = -5
6p = -5

Divide each side by '6'.
p = -0.8333333333

Simplifying
p = -0.8333333333
Solution
p = {-0.8571428571, -0.8333333333}